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Negreiros Lecture II
General Relativity and Neutron Stars - II Rodrigo Negreiros – UFF - Brazil Outline • Compact Stars • Spherically Symmetric • Rotating Compact Stars • Magnetized Compact Stars References for this lecture Compact Stars • Relativistic stars with inner structure • We need to solve Einstein’s equation for the interior as well as the exterior Compact Stars - Spherical • We begin by writing the following metric • Which leads to the following components of the Riemman curvature tensor Compact Stars - Spherical • The Ricci tensor components are calculated as • Ricci scalar is given by Compact Stars - Spherical • Now we can calculate Einstein’s equation as 휇 • Where we used a perfect fluid as sources ( 푇휈 = 푑푖푎푔(휖, 푃, 푃, 푃)) Compact Stars - Spherical • Einstein’s equation define the space-time curvature • We must also enforce energy-momentum conservation • This implies that • Where the four velocity is given by • After some algebra we get Compact Stars - Spherical • Making use of Euler’s equation we get • Thus • Which we can rewrite as Compact Stars - Spherical • Now we introduce • Which allow us to integrate one of Einstein’s equation, leading to • After some shuffling of Einstein’s equation we can write Summary so far... Metric Energy-Momentum Tensor Einstein’s equation Tolmann-Oppenheimer-Volkoff eq. Relativistic Hydrostatic Equilibrium Mass continuity Stellar structure calculation Microscopic Ewuation of State Macroscopic Composition Structure Recapitulando … “Feed” with diferente microscopic models Microscopic Ewuation of State Macroscopic Composition Structure Compare predicted properties with Observed data. Rotating Compact Stars • During its evolution, compact stars may acquire high rotational frequencies (possibly up to 500 hz) • Rotation breaks spherical symmetry, increasing the degrees of freedom. -
Exploring Pulsars
High-energy astrophysics Explore the PUL SAR menagerie Astronomers are discovering many strange properties of compact stellar objects called pulsars. Here’s how they fit together. by Victoria M. Kaspi f you browse through an astronomy book published 25 years ago, you’d likely assume that astronomers understood extremely dense objects called neutron stars fairly well. The spectacular Crab Nebula’s central body has been a “poster child” for these objects for years. This specific neutron star is a pulsar that I rotates roughly 30 times per second, emitting regular appar- ent pulsations in Earth’s direction through a sort of “light- house” effect as the star rotates. While these textbook descriptions aren’t incorrect, research over roughly the past decade has shown that the picture they portray is fundamentally incomplete. Astrono- mers know that the simple scenario where neutron stars are all born “Crab-like” is not true. Experts in the field could not have imagined the variety of neutron stars they’ve recently observed. We’ve found that bizarre objects repre- sent a significant fraction of the neutron star population. With names like magnetars, anomalous X-ray pulsars, soft gamma repeaters, rotating radio transients, and compact Long the pulsar poster child, central objects, these bodies bear properties radically differ- the Crab Nebula’s central object is a fast-spinning neutron star ent from those of the Crab pulsar. Just how large a fraction that emits jets of radiation at its they represent is still hotly debated, but it’s at least 10 per- magnetic axis. Astronomers cent and maybe even the majority. -
Neutron Stars
Chandra X-Ray Observatory X-Ray Astronomy Field Guide Neutron Stars Ordinary matter, or the stuff we and everything around us is made of, consists largely of empty space. Even a rock is mostly empty space. This is because matter is made of atoms. An atom is a cloud of electrons orbiting around a nucleus composed of protons and neutrons. The nucleus contains more than 99.9 percent of the mass of an atom, yet it has a diameter of only 1/100,000 that of the electron cloud. The electrons themselves take up little space, but the pattern of their orbit defines the size of the atom, which is therefore 99.9999999999999% Chandra Image of Vela Pulsar open space! (NASA/PSU/G.Pavlov et al. What we perceive as painfully solid when we bump against a rock is really a hurly-burly of electrons moving through empty space so fast that we can't see—or feel—the emptiness. What would matter look like if it weren't empty, if we could crush the electron cloud down to the size of the nucleus? Suppose we could generate a force strong enough to crush all the emptiness out of a rock roughly the size of a football stadium. The rock would be squeezed down to the size of a grain of sand and would still weigh 4 million tons! Such extreme forces occur in nature when the central part of a massive star collapses to form a neutron star. The atoms are crushed completely, and the electrons are jammed inside the protons to form a star composed almost entirely of neutrons. -
The Rotationally Modulated Polarization of Ξ Boo A
MNRAS 000,1–8 (2018) Preprint 12 February 2019 Compiled using MNRAS LATEX style file v3.0 The Rotationally Modulated Polarization of ξ Boo A Daniel V. Cotton1;2?, Dag Evensberget3, Stephen C. Marsden3, Jeremy Bailey1;2, Jinglin Zhao1, Lucyna Kedziora-Chudczer1;2, Bradley D. Carter3, Kimberly Bott4;5, Aline A. Vidotto6, Pascal Petit7;8, Julien Morin9 and Sandra V. Jeffers10. 1School of Physics, UNSW Sydney, NSW 2052, Australia. 2Australian Centre for Astrobiology, UNSW Sydney, NSW 2052, Australia. 3University of Southern Queensland, Centre for Astrophysics, Springfield, Qld. 4300/Toowoomba, Qld. 4350, Australia. 4University of Washington Astronomy Department, Box 351580, UW Seattle, WA 98195, USA. 5NExSS Virtual Planetary Laboratory, Box 351580, UW Seattle, WA 98195, USA. 6School of Physics, Trinity College Dublin, College Green, Dublin 2, Ireland. 7Université de Toulouse, UPS-OMP, IRAP, Toulouse, France. 8CNRS, Institut de Recherche en Astrophysique et Planetologie, 14, avenue Edouard Belin, F-31400 Toulouse, France. 9LUPM-UMR 5299, CNRS & Université Montpellier, place Eugène Bataillon, 34095 Montpellier Cedex 05, France. 10Institute for Astrophysics, University of Goettingen, Friedrich Hund Platz 1, 37077, Goettingen, Germany. Accepted . Received ; in original form ABSTRACT We have observed the active star ξ Boo A (HD 131156A) with high precision broad- band linear polarimetry contemporaneously with circular spectropolarimetry. We find both signals are modulated by the 6.43 day rotation period of ξ Boo A. The signals from the two techniques are 0.25 out of phase, consistent with the broadband linear po- larization resulting from differential saturation of spectral lines in the global transverse magnetic field. The mean magnitude of the linear polarization signal is ∼4 ppm/G but its structure is complex and the amplitude of the variations suppressed relative to the longitudinal magnetic field. -
Young Nearby Stars by Adam Conrad Schneider (Under The
Young Nearby Stars by Adam Conrad Schneider (Under the Direction of Professor Inseok Song) Abstract Nearby young stars are without equal as stellar and planetary evolution laboratories. The aim of this work is to use age diagnostic considerations to execute a complete survey for new nearby young stars and to efficiently reevaluate and constrain their ages. Because of their proximity and age, young, nearby stars are the most desired targets for any astrophysical study focusing on the early stages of star and planet formation. Identifying nearby, young, low-mass stars is challenging because of their inherent faint- ness and age diagnostic degeneracies. A new method for identifying these objects has been developed, and a pilot study of its effectiveness is demonstrated by the identification of two definite new members of the TW Hydrae Association. Nearby, young, solar-type stars are initially identified in this work by their fractional X-ray luminosity. The results of a large-scale search for nearby, young, solar-type stars is presented. Follow-up spectroscopic observations are taken in order to measure various age diagnostics in order to accurately assess stellar ages. Age, one of the most fundamental properties of a star, is also one of the most difficult to determine. While a variety of proce- dures have been developed and utilized to approximate ages for solar-type stars, with varying degrees of success, a comprehensive age-dating technique has yet to be constructed. Often- times, different methods exhibit contradictory or conflicting findings. Such inconsistencies demonstrate the value of a uniform method of determining stellar ages. -
R-Process Elements from Magnetorotational Hypernovae
r-Process elements from magnetorotational hypernovae D. Yong1,2*, C. Kobayashi3,2, G. S. Da Costa1,2, M. S. Bessell1, A. Chiti4, A. Frebel4, K. Lind5, A. D. Mackey1,2, T. Nordlander1,2, M. Asplund6, A. R. Casey7,2, A. F. Marino8, S. J. Murphy9,1 & B. P. Schmidt1 1Research School of Astronomy & Astrophysics, Australian National University, Canberra, ACT 2611, Australia 2ARC Centre of Excellence for All Sky Astrophysics in 3 Dimensions (ASTRO 3D), Australia 3Centre for Astrophysics Research, Department of Physics, Astronomy and Mathematics, University of Hertfordshire, Hatfield, AL10 9AB, UK 4Department of Physics and Kavli Institute for Astrophysics and Space Research, Massachusetts Institute of Technology, Cambridge, MA 02139, USA 5Department of Astronomy, Stockholm University, AlbaNova University Center, 106 91 Stockholm, Sweden 6Max Planck Institute for Astrophysics, Karl-Schwarzschild-Str. 1, D-85741 Garching, Germany 7School of Physics and Astronomy, Monash University, VIC 3800, Australia 8Istituto NaZionale di Astrofisica - Osservatorio Astronomico di Arcetri, Largo Enrico Fermi, 5, 50125, Firenze, Italy 9School of Science, The University of New South Wales, Canberra, ACT 2600, Australia Neutron-star mergers were recently confirmed as sites of rapid-neutron-capture (r-process) nucleosynthesis1–3. However, in Galactic chemical evolution models, neutron-star mergers alone cannot reproduce the observed element abundance patterns of extremely metal-poor stars, which indicates the existence of other sites of r-process nucleosynthesis4–6. These sites may be investigated by studying the element abundance patterns of chemically primitive stars in the halo of the Milky Way, because these objects retain the nucleosynthetic signatures of the earliest generation of stars7–13. -
Supernova 2007Bi Was a Pair-Instability Explosion
Supernova 2007bi was a pair-instability explosion A. Gal-Yam, Benoziyo Center for Astrophysics, Faculty of Physics, The Weizmann Institute of Science, Rehovot 76100, Israel, P. Mazzali, Max-Planck-Institut f¨ur Astrophysik, Karl-Schwarzschild-Str. 1, 85748 Garching, Germany, and Scuola Normale Superiore, Piazza Cavalieri 7, 56127 Pisa, Italy, E. O. Ofek, Department of Astronomy, 105-24, California Institute of Technology, Pasadena, CA 91125, USA, P. E. Nugent, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720-3411, USA, S. R. Kulkarni, M. M. Kasliwal, R. M. Quimby, Department of Astronomy, 105-24, California Institute of Technology, Pasadena, CA 91125, USA, A. V. Filippenko, S. B. Cenko, R. Chornock, Department of Astronomy, University of California, Berkeley, CA 94720-3411, USA, R. Waldman, The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel, D. Kasen, Department of Astronomy and Astrophysics, University of California, Santa Cruz, CA 95064, USA, M. Sullivan, Department of Astrophysics, University of Oxford, Keble Road, Oxford OX1 3RH, UK, arXiv:1001.1156v1 [astro-ph.CO] 7 Jan 2010 E. C. Beshore, Department of Planetary Sciences, Lunar and Planetary Laboratory, 1629 E. University Blvd, Tucson AZ 85721, USA, A. J. Drake, Department of Astronomy, 105-24, California Institute of Technology, Pasadena, CA 91125, USA, R. C. Thomas, Luis W. Alvarez Fellow, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720-3411, USA, J. S. Bloom, D. Poznanski, A. A. Miller, Department of Astronomy, University of California, Berkeley, CA 94720-3411, USA, R. J. Foley, Clay Fellow, Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138, J. -
An Atlas of Spectra of B6–A2 Hypergiants and Supergiants from 4800 to 6700 Å?
A&A 397, 1035–1042 (2003) Astronomy DOI: 10.1051/0004-6361:20021430 & c ESO 2003 Astrophysics An atlas of spectra of B6–A2 hypergiants and supergiants from 4800 to 6700 Å? E. L. Chentsov1;2,S.V.Ermakov1;2, V.G. Klochkova1;2,V.E.Panchuk1;2, K. S. Bjorkman3, and A. S. Miroshnichenko3;4 1 Special Astrophysical Observatory of the Russian Academy of Sciences, Karachai-Cirkassian Republic, Nizhnij Arkhyz, 369167, Russia 2 Isaac Newton Institute of Chile, SAO Branch 3 Ritter Observatory, Dept. of Physics & Astronomy, University of Toledo, Toledo, OH 43606-3390, USA 4 Central Astronomical Observatory of the Russian Academy of Sciences at Pulkovo, 196140, Saint-Petersburg, Russia Received 20 March 2002 / Accepted 24 September 2002 Abstract. We present an atlas of spectra of 5 emission-line stars: the low-luminosity luminous blue variables (LBVs) HD 168625 and HD 160529, the white hypergiants (and LBV candidates) HD 168607 and AS 314, and the supergiant HD 183143. The spectra were obtained with 2 echelle spectrometers at the 6-m telescope of the Russian Academy of Sciences in the spectral range 4800 to 6700 Å, with a resolution of 0.4 Å. We have identified 380 spectral lines and diffuse interstellar bands within the spectra. Specific spectral features of the objects are described. Key words. stars: emission-line, Be – stars: individual: HD 160529, HD 168607, HD 168625, HD 183143, AS 314 1. Introduction The amplitude of variations in brightness and temperature de- crease as the luminosity decreases. In the least luminous LBVs (M 9 mag), the temperature varies between 12 000– This paper presents a comparative description of the optical bol ∼− spectra of several white hypergiants and supergiants. -
The Kepler Characterization of the Variability Among A- and F-Type Stars I
A&A 534, A125 (2011) Astronomy DOI: 10.1051/0004-6361/201117368 & c ESO 2011 Astrophysics The Kepler characterization of the variability among A- and F-type stars I. General overview K. Uytterhoeven1,2,3,A.Moya4, A. Grigahcène5,J.A.Guzik6, J. Gutiérrez-Soto7,8,9, B. Smalley10, G. Handler11,12, L. A. Balona13,E.Niemczura14, L. Fox Machado15,S.Benatti16,17, E. Chapellier18, A. Tkachenko19, R. Szabó20, J. C. Suárez7,V.Ripepi21, J. Pascual7, P. Mathias22, S. Martín-Ruíz7,H.Lehmann23, J. Jackiewicz24,S.Hekker25,26, M. Gruberbauer27,11,R.A.García1, X. Dumusque5,28,D.Díaz-Fraile7,P.Bradley29, V. Antoci11,M.Roth2,B.Leroy8, S. J. Murphy30,P.DeCat31, J. Cuypers31, H. Kjeldsen32, J. Christensen-Dalsgaard32 ,M.Breger11,33, A. Pigulski14, L. L. Kiss20,34, M. Still35, S. E. Thompson36,andJ.VanCleve36 (Affiliations can be found after the references) Received 30 May 2011 / Accepted 29 June 2011 ABSTRACT Context. The Kepler spacecraft is providing time series of photometric data with micromagnitude precision for hundreds of A-F type stars. Aims. We present a first general characterization of the pulsational behaviour of A-F type stars as observed in the Kepler light curves of a sample of 750 candidate A-F type stars, and observationally investigate the relation between γ Doradus (γ Dor), δ Scuti (δ Sct), and hybrid stars. Methods. We compile a database of physical parameters for the sample stars from the literature and new ground-based observations. We analyse the Kepler light curve of each star and extract the pulsational frequencies using different frequency analysis methods. -
Annual Report 1972
I I ANNUAL REPORT 1972 EUROPEAN SOUTHERN OBSERVATORY ANNUAL REPORT 1972 presented to the Council by the Director-General, Prof. Dr. A. Blaauw, in accordance with article VI, 1 (a) of the ESO Convention Organisation Europeenne pour des Recherches Astronomiques dans 1'Hkmisphtre Austral EUROPEAN SOUTHERN OBSERVATORY Frontispiece: The European Southern Observatory on La Silla mountain. In the foreground the "old camp" of small wooden cabins dating from the first period of settlement on La Silln and now gradually being replaced by more comfortable lodgings. The large dome in the centre contains the Schmidt Telescope. In the background, from left to right, the domes of the Double Astrograph, the Photo- metric (I m) Telescope, the Spectroscopic (1.>2 m) Telescope, and the 50 cm ESO and Copen- hagen Telescopes. In the far rear at right a glimpse of the Hostel and of some of the dormitories. Between the Schmidt Telescope Building and the Double Astrograph the provisional mechanical workshop building. (Viewed from the south east, from a hill between thc existing telescope park and the site for the 3.6 m Telescope.) TABLE OF CONTENTS INTRODUCTION General Developments and Special Events ........................... 5 RESEARCH ACTIVITIES Visiting Astronomers ........................................ 9 Statistics of Telescope Use .................................... 9 Research by Visiting Astronomers .............................. 14 Research by ESO Staff ...................................... 31 Joint Research with Universidad de Chile ...................... -
Astrophysics VLT/UVES Spectroscopy of Wray 977, the Hypergiant
UvA-DARE (Digital Academic Repository) VLT/UVES spectroscopy of Wray 977, the hypergiant companion to the X-ray pulsar GX301-2 Kaper, L.; van der Meer, A.; Najarro, F. DOI 10.1051/0004-6361:20065393 Publication date 2006 Document Version Final published version Published in Astronomy & Astrophysics Link to publication Citation for published version (APA): Kaper, L., van der Meer, A., & Najarro, F. (2006). VLT/UVES spectroscopy of Wray 977, the hypergiant companion to the X-ray pulsar GX301-2. Astronomy & Astrophysics, 457(2), 595- 610. https://doi.org/10.1051/0004-6361:20065393 General rights It is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulations If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: https://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. UvA-DARE is a service provided by the library of the University of Amsterdam (https://dare.uva.nl) Download date:02 Oct 2021 A&A 457, 595–610 (2006) Astronomy DOI: 10.1051/0004-6361:20065393 & c ESO 2006 Astrophysics VLT/UVES spectroscopy of Wray 977, the hypergiant companion to the X-ray pulsar GX301−2 L. -
DISCOVERY of an EXTRAORDINARY NUMBER of RED SUPERGIANTS in the INNER GALAXY. Maria Messineo1,2,Qingfeng Zhu1,Karl M
Draft version April 5, 2016 Preprint typeset using LATEX style emulateapj v. 03/07/07 DISCOVERY OF AN EXTRAORDINARY NUMBER OF RED SUPERGIANTS IN THE INNER GALAXY. Maria Messineo1,2,Qingfeng Zhu1,Karl M. Menten2,Valentin D. Ivanov3,Donald F. Figer4,Rolf-Peter Kudritzki5, C.-H. Rosie Chen2, Draft version April 5, 2016 ABSTRACT In this letter we present a search for Galactic red supergiant stars (RSGs) in the direction of the Inner Galaxy. A number of 94 targets selected from the 2MASS and GLIMPSE I North catalogs – via their blue extinction- free Q1 and Q2 colors – were spectroscopically observed at infrared wavelengths (in H and K band at R ∼ 1000) and an extraordinary high detection-rate of RSGs (> 61%) was found. We identified spectroscopically 58 RSGs, based on their flat continua and large equivalent widths of the CO band at 2.293 µm (EW > 45Å). This increase corresponds to about 25% of previously known RSGs in the Galactic region 10◦ < l < 60◦, −1◦:1 < b < 1◦:1. In order to confirm the location of the new RSGs in the Inner Galaxy, distances were estimated for a subsample of 47 stars with the clump method and found to range from 3:60:4 to 8:60:7 kpc. The large new sample will allow to investigate Galactic metallicity gradients as a function of galactocentric distances and azimuthal angles. Such information is currently an highly disputed issue to constrain models of Galaxy formation and evolution. Subject headings: stars: evolution — infrared: stars — stars: supergiants — stars: massive — stars: abundances 1. INTRODUCTION 2009b; Mazzuca et al.