A COMPLETE CENSUS of LUMINOUS STELLAR VARIABILITY on DAY to DECADE TIMESCALES Charlie Conroy1, Jay Strader2, Pieter Van Dokkum3, Andrew E
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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. -
The Star Newsletter
THE HOT STAR NEWSLETTER ? An electronic publication dedicated to A, B, O, Of, LBV and Wolf-Rayet stars and related phenomena in galaxies No. 25 December 1996 http://webhead.com/∼sergio/hot/ editor: Philippe Eenens http://www.inaoep.mx/∼eenens/hot/ [email protected] http://www.star.ucl.ac.uk/∼hsn/index.html Contents of this Newsletter Abstracts of 6 accepted papers . 1 Abstracts of 2 submitted papers . .4 Abstracts of 3 proceedings papers . 6 Abstract of 1 dissertation thesis . 7 Book .......................................................................8 Meeting .....................................................................8 Accepted Papers The Mass-Loss History of the Symbiotic Nova RR Tel Harry Nussbaumer and Thomas Dumm Institute of Astronomy, ETH-Zentrum, CH-8092 Z¨urich, Switzerland Mass loss in symbiotic novae is of interest to the theory of nova-like events as well as to the question whether symbiotic novae could be precursors of type Ia supernovae. RR Tel began its outburst in 1944. It spent five years in an extended state with no mass-loss before slowly shrinking and increasing its effective temperature. This transition was accompanied by strong mass-loss which decreased after 1960. IUE and HST high resolution spectra from 1978 to 1995 show no trace of mass-loss. Since 1978 the total luminosity has been decreasing at approximately constant effective temperature. During the present outburst the white dwarf in RR Tel will have lost much less matter than it accumulated before outburst. - The 1995 continuum at λ ∼< 1400 is compatible with a hot star of T = 140 000 K, R = 0.105 R , and L = 3700 L . Accepted by Astronomy & Astrophysics Preprints from [email protected] 1 New perceptions on the S Dor phenomenon and the micro variations of five Luminous Blue Variables (LBVs) A.M. -
Plotting Variable Stars on the H-R Diagram Activity
Pulsating Variable Stars and the Hertzsprung-Russell Diagram The Hertzsprung-Russell (H-R) Diagram: The H-R diagram is an important astronomical tool for understanding how stars evolve over time. Stellar evolution can not be studied by observing individual stars as most changes occur over millions and billions of years. Astrophysicists observe numerous stars at various stages in their evolutionary history to determine their changing properties and probable evolutionary tracks across the H-R diagram. The H-R diagram is a scatter graph of stars. When the absolute magnitude (MV) – intrinsic brightness – of stars is plotted against their surface temperature (stellar classification) the stars are not randomly distributed on the graph but are mostly restricted to a few well-defined regions. The stars within the same regions share a common set of characteristics. As the physical characteristics of a star change over its evolutionary history, its position on the H-R diagram The H-R Diagram changes also – so the H-R diagram can also be thought of as a graphical plot of stellar evolution. From the location of a star on the diagram, its luminosity, spectral type, color, temperature, mass, age, chemical composition and evolutionary history are known. Most stars are classified by surface temperature (spectral type) from hottest to coolest as follows: O B A F G K M. These categories are further subdivided into subclasses from hottest (0) to coolest (9). The hottest B stars are B0 and the coolest are B9, followed by spectral type A0. Each major spectral classification is characterized by its own unique spectra. -
Asteroseismology with ET
Asteroseismology with ET Erich Gaertig & Kostas D. Kokkotas Theoretical Astrophysics - University of Tübingen nice, et-wp4 meeting,september 1st-2nd, 2010 Asteroseismology with gravitational waves as a tool to probe the inner structure of NS • neutron stars build from single-fluid, normal matter Andersson, Kokkotas (1996, 1998) Benhar, Berti, Ferrari(1999) Benhar, Ferrari, Gualtieri(2004) Asteroseismology with gravitational waves as a tool to probe the inner structure of NS • neutron stars build from single-fluid, normal matter • strange stars composed of deconfined quarks NONRADIAL OSCILLATIONS OF QUARK STARS PHYSICAL REVIEW D 68, 024019 ͑2003͒ NONRADIAL OSCILLATIONS OF QUARK STARS PHYSICAL REVIEW D 68, 024019 ͑2003͒ H. SOTANI AND T. HARADA PHYSICAL REVIEW D 68, 024019 ͑2003͒ FIG. 5. The horizontal axis is the bag constant B (MeV/fmϪ3) Sotani, Harada (2004) FIG. 4. Complex frequencies of the lowest wII mode for each and the vertical axis is the f mode frequency Re(). The squares, stellar model except for the plot for Bϭ471.3 MeV fmϪ3, for circles, and triangles correspond to stellar models whose radiation which the second wII mode is plotted. The labels in this figure radii are fixed at 3.8, 6.0, and 8.2 km, respectively. The dotted line Benhar, Ferrari, Gualtieri, Marassicorrespond (2007) to those of the stellar models in Table I. denotes the new empirical relationship ͑4.3͒ obtained in Sec. IV between Re() of the f mode and B. simple extrapolation to quark stars is not very successful. We want to construct an alternative formula for quark star mod- fixed at Rϱϭ3.8, 6.0, and 8.2 km, and the adopted bag con- els by using our numerical results for f mode QNMs, but we stants are Bϭ42.0 and 75.0 MeV fmϪ3. -
Black Hole Formation the Collapse of Compact Stellar Objects to Black Holes
Utrecht University Institute of Theoretical Physics Black Hole Formation The Collapse of Compact Stellar Objects to Black Holes Author: Michiel Bouwhuis [email protected] Supervisor: Dr. Tomislav Prokopec [email protected] February 17, 2009 Theoretical Physics Colloquium Abstract This paper attemps to prove the existence of black holes by combining obser- vational evidence with theoretical findings. First, basic properties of black holes are explained. Then black hole formation is studied. The relativistic hydrostatic equations are derived. For white dwarfs the equation of state and the Chandrasekhar limit M = 1:43M are worked out. An upper bound of M = 3:6M for the mass of any compact object is determined. These results are compared with observational evidence to prove that black holes exist. Contents 1 Introduction 3 2 Black Holes Basics 5 2.1 The Schwarzschild Metric . 5 2.2 Black Holes . 6 2.3 Eddington-Finkelstein Coordinates . 7 2.4 Types of Black Holes . 9 3 Stellar Collapse and Black Hole Formation 11 3.1 Introduction . 11 3.2 Collapse of Dust . 11 3.3 Gravitational Balance . 15 3.4 Equations of Structure . 15 3.5 White Dwarfs . 18 3.6 Neutron Stars . 23 4 Astronomical Black Holes 26 4.1 Stellar-Mass Black Holes . 26 4.2 Supermassive Black Holes . 27 5 Discussion 29 5.1 Black hole alternatives . 29 5.2 Conclusion . 29 2 Chapter 1 Introduction The idea of a object so heavy that even light cannot escape its gravitational well is very old. It was first considered by British amateur astronomer John Michell in 1783. -
Pre-Supernova Evolution of Massive Stars
Pre-Supernova Evolution of Massive Stars ByNINO PANAGIA1;2, AND GIUSEPPE BONO3 1Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA. 2On assignment from the Space Science Department of ESA. 3Osservatorio Astronomico di Roma, Via Frascati 33, Monte Porzio Catone, Italy. We present the preliminary results of a detailed theoretical investigation on the hydrodynamical properties of Red Supergiant (RSG) stars at solar chemical composition and for stellar masses ranging from 10 to 20 M . We find that the main parameter governing their hydrodynamical behaviour is the effective temperature, and indeed when moving from higher to lower effective temperatures the models show an increase in the dynamical perturbations. Also, we find that RSGs are pulsationally unstable for a substantial portion of their lifetimes. These dynamical instabilities play a key role in driving mass loss, thus inducing high mass loss rates (up to −3 −1 almost 10 M yr ) and considerable variations of the mass loss activity over timescales of the order of 104 years. Our results are able to account for the variable mmass loss rates as implied by radio observations of type II supernovae, and we anticipate that comparisons of model predictions with observed circumstellar phenomena around SNII will provide valuable diagnostics about their progenitors and their evolutionary histories. 1. Introduction More than 20 years of radio observations of supernovae (SNe) have provided a wealth of evidence for the presence of substantial amounts of circumstellar material (CSM) surrounding the progenitors of SNe of type II and Ib/c (see Weiler et al., this Conference, and references therein). -
Communications in Asteroseismology
Communications in Asteroseismology Volume 141 January, 2002 Editor: Michel Breger, TurkÄ enschanzstra¼e 17, A - 1180 Wien, Austria Layout and Production: Wolfgang Zima and Renate Zechner Editorial Board: Gerald Handler, Don Kurtz, Jaymie Matthews, Ennio Poretti http://www.deltascuti.net COVER ILLUSTRATION: Representation of the COROT Satellite, which is primarily devoted to under- standing the physical processes that determine the internal structure of stars, and to building an empirically tested and calibrated theory of stellar evolution. Another scienti¯c goal is to observe extrasolar planets. British Library Cataloguing in Publication data. A Catalogue record for this book is available from the British Library. All rights reserved ISBN 3-7001-3002-3 ISSN 1021-2043 Copyright °c 2002 by Austrian Academy of Sciences Vienna Contents Multiple frequencies of θ2 Tau: Comparison of ground-based and space measurements by M. Breger 4 PMS stars as COROT additional targets by M. Marconi, F. Palla and V. Ripepi 13 The study of pulsating stars from the COROT exoplanet ¯eld data by C. Aerts 20 10 Aql, a new target for COROT by L. Bigot and W. W. Weiss 26 Status of the COROT ground-based photometric activities by R. Garrido, P. Amado, A. Moya, V. Costa, A. Rolland, I. Olivares and M. J. Goupil 42 Mode identi¯cation using the exoplanetary camera by R. Garrido, A. Moya, M. J.Goupil, C. Barban, C. van't Veer-Menneret, F. Kupka and U. Heiter 48 COROT and the late stages of stellar evolution by T. Lebzelter, H. Pikall and F. Kerschbaum 51 Pulsations of Luminous Blue Variables by E. -
Physics of Compact Stars
Physics of Compact Stars • Crab nebula: Supernova 1054 • Pulsars: rotating neutron stars • Death of a massive star • Pulsars: lab’s of many-particle physics • Equation of state and star structure • Phase diagram of nuclear matter • Rotation and accretion • Cooling of neutron stars • Neutrinos and gamma-ray bursts • Outlook: particle astrophysics David Blaschke - IFT, University of Wroclaw - Winter Semester 2007/08 1 Example: Crab nebula and Supernova 1054 1054 Chinese Astronomers observe ’Guest-Star’ in the vicinity of constellation Taurus – 6times brighter than Venus, red-white light – 1 Month visible during the day, 1 Jahr at evenings – Luminosity ≈ 400 Million Suns – Distance d ∼ 7.000 Lightyears (ly) (when d ≤ 50 ly Life on earth would be extingished) 1731 BEVIS: Telescope observation of the SN remnants 1758 MESSIER: Catalogue of nebulae and star clusters 1844 ROSSE: Name ’Crab nebula’ because of tentacle structure 1939 DUNCAN: extrapolates back the nebula expansion −! Explosion of a point source 766 years ago 1942 BAADE: Star in the nebula center could be related to its origin 1948 Crab nebula one of the brightest radio sources in the sky CHANDRA (BLAU) + HUBBLE (ROT) 1968 BAADE’s star identified as pulsar 2 Pulsars: Rotating Neutron stars 1967 Jocelyne BELL discovers (Nobel prize 1974 for HEWISH) pulsating radio frequency source (pulse in- terval: 1.34 sec; pulse duration: 0.01 sec) Today more than 1700 of such sources are known in the milky way ) PULSARS Pulse frequency extremely stable: ∆T=T ≈ 1 sec/1 million years 1968 Explanation -
Asteroseismic Fingerprints of Stellar Mergers
MNRAS 000,1–13 (2021) Preprint 7 September 2021 Compiled using MNRAS LATEX style file v3.0 Asteroseismic Fingerprints of Stellar Mergers Nicholas Z. Rui,1¢ Jim Fuller1 1TAPIR, California Institute of Technology, Pasadena, CA 91125, USA Accepted XXX. Received YYY; in original form ZZZ ABSTRACT Stellar mergers are important processes in stellar evolution, dynamics, and transient science. However, it is difficult to identify merger remnant stars because they cannot easily be distinguished from single stars based on their surface properties. We demonstrate that merger remnants can potentially be identified through asteroseismology of red giant stars using measurements of the gravity mode period spacing together with the asteroseismic mass. For mergers that occur after the formation of a degenerate core, remnant stars have over-massive envelopes relative to their cores, which is manifested asteroseismically by a g mode period spacing smaller than expected for the star’s mass. Remnants of mergers which occur when the primary is still on the main sequence or whose total mass is less than ≈2 " are much harder to distinguish from single stars. Using the red giant asteroseismic catalogs of Vrard et al.(2016) and Yu et al.(2018), we identify 24 promising candidates for merger remnant stars. In some cases, merger remnants could also be detectable using only their temperature, luminosity, and asteroseismic mass, a technique that could be applied to a larger population of red giants without a reliable period spacing measurement. Key words: asteroseismology—stars: evolution—stars: interiors—stars: oscillations 1 INTRODUCTION for the determination of evolutionary states (Bedding et al. 2011; Bildsten et al. -
A Refined Search for Pulsations in White Dwarf Companions To
MNRAS 479, 1267–1272 (2018) doi:10.1093/mnras/sty1546 Advance Access publication 2018 June 12 A refined search for pulsations in white dwarf companions to millisecond pulsars Mukremin Kilic,1,2† J. J. Hermes,3‡ A. H. Corsico,´ 4 Alekzander Kosakowski,1 Warren R. Brown,5 John Antoniadis,6 Leila M. Calcaferro,4 A. Gianninas,1 Leandro G. Althaus4 and M. J. Green7 1Department of Physics and Astronomy, University of Oklahoma, 440 W. Brooks St., Norman, OK 73019, USA 2Institute for Astronomy, University of Edinburgh, Royal Observatory, Blackford Hill, Edinburgh EH9 3HJ, UK 3Department of Physics and Astronomy, University of North Carolina, Chapel Hill NC 27599, USA 4Facultad de Ciencias Astronomicas´ y Geof´ısicas (UNLP), La Plata, Argentina 5Smithsonian Astrophysical Observatory, 60 Garden St, Cambridge MA 02138, USA 6Dunlap Institute for Astronomy & Astrophysics, University of Toronto, 50 St. George Street, Toronto M5S 3H4, Canada 7Astronomy and Astrophysics Group, Department of Physics, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, UK Accepted 2018 June 7. Received 2018 May 27; in original form 2018 April 11 ABSTRACT We present optical high-speed photometry of three millisecond pulsars with low-mass (<0.3 M) white dwarf companions, bringing the total number of such systems with follow-up time-series photometry to five. We confirm the detection of pulsations in one system, the white dwarf companion to PSR J1738+0333, and show that the pulsation frequencies and amplitudes are variable over many months. A full asteroseismic analysis for this star is underconstrained, but the mode periods we observe are consistent with expectations for an M = 0.16 − 0.19 M white dwarf, as suggested from spectroscopy. -
Cygnus X-3 and the Case for Simultaneous Multifrequency
by France Anne-Dominic Cordova lthough the visible radiation of Cygnus A X-3 is absorbed in a dusty spiral arm of our gal- axy, its radiation in other spectral regions is observed to be extraordinary. In a recent effort to better understand the causes of that radiation, a group of astrophysicists, including the author, carried 39 Cygnus X-3 out an unprecedented experiment. For two days in October 1985 they directed toward the source a variety of instru- ments, located in the United States, Europe, and space, hoping to observe, for the first time simultaneously, its emissions 9 18 Gamma Rays at frequencies ranging from 10 to 10 Radiation hertz. The battery of detectors included a very-long-baseline interferometer consist- ing of six radio telescopes scattered across the United States and Europe; the Na- tional Radio Astronomy Observatory’s Very Large Array in New Mexico; Caltech’s millimeter-wavelength inter- ferometer at the Owens Valley Radio Ob- servatory in California; NASA’s 3-meter infrared telescope on Mauna Kea in Ha- waii; and the x-ray monitor aboard the European Space Agency’s EXOSAT, a sat- ellite in a highly elliptical, nearly polar orbit, whose apogee is halfway between the earth and the moon. In addition, gamma- Wavelength (m) ray detectors on Mount Hopkins in Ari- zona, on the rim of Haleakala Crater in Fig. 1. The energy flux at the earth due to electromagnetic radiation from Cygnus X-3 as a Hawaii, and near Leeds, England, covered function of the frequency and, equivalently, energy and wavelength of the radiation. -
Gaia Data Release 2 Special Issue
A&A 623, A110 (2019) Astronomy https://doi.org/10.1051/0004-6361/201833304 & © ESO 2019 Astrophysics Gaia Data Release 2 Special issue Gaia Data Release 2 Variable stars in the colour-absolute magnitude diagram?,?? Gaia Collaboration, L. Eyer1, L. Rimoldini2, M. Audard1, R. I. Anderson3,1, K. Nienartowicz2, F. Glass1, O. Marchal4, M. Grenon1, N. Mowlavi1, B. Holl1, G. Clementini5, C. Aerts6,7, T. Mazeh8, D. W. Evans9, L. Szabados10, A. G. A. Brown11, A. Vallenari12, T. Prusti13, J. H. J. de Bruijne13, C. Babusiaux4,14, C. A. L. Bailer-Jones15, M. Biermann16, F. Jansen17, C. Jordi18, S. A. Klioner19, U. Lammers20, L. Lindegren21, X. Luri18, F. Mignard22, C. Panem23, D. Pourbaix24,25, S. Randich26, P. Sartoretti4, H. I. Siddiqui27, C. Soubiran28, F. van Leeuwen9, N. A. Walton9, F. Arenou4, U. Bastian16, M. Cropper29, R. Drimmel30, D. Katz4, M. G. Lattanzi30, J. Bakker20, C. Cacciari5, J. Castañeda18, L. Chaoul23, N. Cheek31, F. De Angeli9, C. Fabricius18, R. Guerra20, E. Masana18, R. Messineo32, P. Panuzzo4, J. Portell18, M. Riello9, G. M. Seabroke29, P. Tanga22, F. Thévenin22, G. Gracia-Abril33,16, G. Comoretto27, M. Garcia-Reinaldos20, D. Teyssier27, M. Altmann16,34, R. Andrae15, I. Bellas-Velidis35, K. Benson29, J. Berthier36, R. Blomme37, P. Burgess9, G. Busso9, B. Carry22,36, A. Cellino30, M. Clotet18, O. Creevey22, M. Davidson38, J. De Ridder6, L. Delchambre39, A. Dell’Oro26, C. Ducourant28, J. Fernández-Hernández40, M. Fouesneau15, Y. Frémat37, L. Galluccio22, M. García-Torres41, J. González-Núñez31,42, J. J. González-Vidal18, E. Gosset39,25, L. P. Guy2,43, J.-L. Halbwachs44, N. C. Hambly38, D.