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Arxiv:2010.11303V2 [Astro-Ph.GA] 23 Feb 2021
DRAFT VERSION FEBRUARY 24, 2021 Preprint typeset using LATEX style emulateapj v. 01/23/15 RECONCILING EHT AND GAS DYNAMICS MEASUREMENTS IN M87: IS THE JET MISALIGNED AT PARSEC SCALES? BRITTON JETER1,2,3 ,AVERY E. BRODERICK1,2,3 , 1 Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada 2 Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2L 2Y5, Canada 3 Waterloo Centre for Astrophysics, University of Waterloo, Waterloo, ON N2L 3G1, Canada Draft version February 24, 2021 ABSTRACT The Event Horizon Telescope mass estimate for M87* is consistent with the stellar dynamics mass estimate and inconsistent with the gas-dynamics mass estimates by up to 2σ. We have previously explored a new gas-dynamics model that incorporated sub-Keplerian gas velocities and could, in principle, explain the discrepancy in the stellar and gas-dynamics mass estimate. In this paper, we extend this gas-dynamical model to also include non-trivial disk heights, which may also resolve the mass discrepancy independent of sub-Keplerian velocity components. By combining the existing velocity measurements and the Event Horizon Telescope mass estimate, we place con- straints on the gas disk inclination and sub-Keplerian fraction. These constraints require the parsec-scale ionized gas disk to be misaligned with the milliarcsecond radio jet by at least 11◦, and more typically 27◦. Modifications to the gas-dynamics model either by introducing sub-Keplerian velocities or thick disks produce further misalign- ment with the radio jet. If the jet is produced in a Blandford–Znajek-type process, the angular momentum of the black hole is decoupled with the angular momentum of the large-scale gas feeding M87*. -
Active Galactic Nuclei
Active Galactic Nuclei • Optical spectra, distance, line width • Varieties of AGN and unified scheme • Variability and lifetime • Black hole mass and growth • Geometry: disk, BLR, NLR • Reverberation mapping • Jets and blazars • AGN spectra Optical spectrum of an AGN • Variety of different emission lines • Each line has centroid, area, width • There is also continuum emission Emission lines • Shift of line centroid gives recession velocity v/c = Δλ/λ. • The width is usually characterized by the “Full Width at Half Maximum”. For a Gaussian FHWM = 2.35σ. • The line width is determined by the velocity distribution of the line emitting gas, Δv/c = σ/λ. • Area is proportional to the number of detected line photons or the line flux. • Usually characterized by “equivalent width” or range in wavelength over which integration of the continuum produces the same flux as the line. Early observations of AGN • Very wide emission lines have been known since 1908. • In 1959, Woltjer noted that if the profiles are due to Doppler motion and the gas is gravitationally bound then v2 ~ GM/r. For v ~ 2000 km/s, we have 10 r M ≥10 ( 100 pc ) M Sun • So AGN, known at the time as Seyfert galaxies, must either have a very compact and luminous nucleus or be very massive. Quasars • Early radio telescopes found radio emission from stars, nebulae, and some galaxies. • There were also point-like, or star-like, radio sources which varied rapidly these are the `quasi-stellar’ radio sources or quasars. • In visible light quasars appear as points, like stars. Quasar optical spectra Redshift of 3C273 is 0.16. -
Superluminal Motion of Gamma-Ray Blazars
High Energy Blazar Astronomy ASP Conference Series, Vol. 299, 2003 L.O. Takalo and E. Valtaoja Superluminal Motion of Gamma-Ray Blazars S.G. Jorstad Institute for Astrophysical Research, Boston University, 725 Commonwealth Ave., Boston, MA 02215-1401 Astronomical Institute of St. Petersburg State University, Universitetskij pr. 28, 198504 St. Petersburg, Russia A.P. Marscher Institute for Astrophysical Research, Boston University, 725 Commonwealth Ave., Boston, MA 02215-1401 Abstract. We have completed a program of monitoring of a sample of γ-ray blazars with the VLBA at 22 and 43 GHz. Analysis of the data allows us to conclude that the population of bright γ-ray blazars can be classified as highly superluminal, with apparent speeds as high as ∼40c. However, many of the blazars exhibit a wide range of apparent speeds from ∼4c to ∼20c in the same source. Comparison of brightness and polarization parameters with the jet velocities of moving components does not show significant correlation between these parameters. Intensive multifrequency VLBI monitoring is needed to reveal any patterns that might exist in the distribution of apparent speeds observed in the same object. 1. Introduction Apparent speed is one of the most important parameters for determining the physics of radio jets. The largest class of identified γ-ray sources (Hartman et al. 1999) consists of violently variable AGNs (blazars) characterized by one-sided superluminal radio jets. A popular model for the production of high-energy radiation in AGNs involves inverse-Compton scattering of low-energy photons by highly relativistic electrons in the jet. However, the seed photons for this process are uncertain: they might be from the accretion disk and/or nearby region (ECS-model; Sikora et al. -
Particle Motion Exterior to a Spherical Star
Lecture XIX: Particle motion exterior to a spherical star Christopher M. Hirata Caltech M/C 350-17, Pasadena CA 91125, USA∗ (Dated: January 18, 2012) I. OVERVIEW Our next objective is to consider the motion of test particles exterior to a spherical star (or around a black hole), i.e. in the Schwarzschild spacetime. We are interested in both massive particles (e.g. Mercury orbiting the Sun, or a neutron star orbiting a supermassive black hole), and in massless particles (light rays carrying information from an astrophysical object). The reading for this lecture is: MTW Ch. 25. • II. THE PROBLEM We begin with the metric: M dr2 ds2 = 1 2 dt2 + + r2(dθ2 + sin2 θ dφ2). (1) − − r 1 2M/r − Without loss of generality, it is permissible to assume the particle orbits in the equatorial plane, θ = π/2. In this case, we only need the 2+1 dimensional equatorial slice E of the metric: ⊂M M dr2 ds2 = 1 2 dt2 + + r2 dφ2. (2) − − r 1 2M/r − The particle’s momentum p has 3 nontrivial components, and fortunately has three conserved quantities: the time- translation and rotation (longitude invariance or J3 Killing field) imply that pt and pφ are conserved. Furthermore, the magnitude of the 4-momentum is conserved, p p = µ2. The existence of 3 conserved quantities implies that the motion of the test particle is integrable. · − III. MOTION OF MASSIVE PARTICLES Let us first consider the motion of a massive particle. We may then define the specific energy E˜ and specific angular momentum L˜ to be the conserved quantities per unit mass associated with the two symmetries: p p E˜ = u = t and L˜ = u = φ . -
On the Possibility of Faster-Than-Light Motions in Nonlinear Electrodynamics
Proceedings of Institute of Mathematics of NAS of Ukraine 2004, Vol. 50, Part 2, 835–842 On the Possibility of Faster-Than-Light Motions in Nonlinear Electrodynamics Gennadii KOTEL’NIKOV RRC Kurchatov Institute, 1 Kurchatov Sq., 123182 Moscow, Russia E-mail: [email protected] A version of electrodynamics is constructed in which faster-than-light motions of electro- magnetic fields and particles with real masses are possible. 1 Introduction For certainty, by faster-than-light motions we shall understand the motions with velocities v> 3 · 108 m/sec. The existence of such motions is the question discussed in modern physics. As already as in 1946–1948 Blokhintsev [1] paid attention to the possibility of formulating the field theory that allows propagation of faster-than-light (superluminal) interactions outside the light cone. Some time later he also noted the possibility of the existence of superluminal solutions in nonlinear equations of electrodynamics [2]. Kirzhnits [3] showed that a particle possessing the i tensor of mass M k =diag(m0,m1,m1,m1), i, k =0, 1, 2, 3, gab =diag(+, −, −, −)canmove faster-than-light, if m0 >m1. Terletsky [4] introduced into theoretical physics the particles with imaging rest masses moving faster-than-light. Feinberg [5] named these particles tachyons and described their main properties. Research on superluminal tachyon motions opened up additional opportunities which were studied by many authors, for example by Bilaniuk and Sudarshan [6], Recami [7], Mignani (see [7]), Kirzhnits and Sazonov [8], Corben (see [7]), Patty [9], Oleinik [10]. It has led to original scientific direction (several hundred publications). -
Static Spherically Symmetric Black Holes in Weak F(T)-Gravity
universe Article Static Spherically Symmetric Black Holes in Weak f (T)-Gravity Christian Pfeifer 1,*,† and Sebastian Schuster 2,† 1 Center of Applied Space Technology and Microgravity—ZARM, University of Bremen, Am Fallturm 2, 28359 Bremen, Germany 2 Ústav Teoretické Fyziky, Matematicko-Fyzikální Fakulta, Univerzita Karlova, V Holešoviˇckách2, 180 00 Praha 8, Czech Republic; [email protected] * Correspondence: [email protected] † These authors contributed equally to this work. Abstract: With the advent of gravitational wave astronomy and first pictures of the “shadow” of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more important than ever. The near future promises more and more detailed information about the observable black holes and black hole candidates. This information could lead to important advances on constraints on or evidence for modifications of general relativity. More precisely, we are studying the influence of weak teleparallel perturbations on general relativistic vacuum spacetime geometries in spherical symmetry. We find the most general family of spherically symmetric, static vacuum solutions of the theory, which are candidates for describing teleparallel black holes which emerge as perturbations to the Schwarzschild black hole. We compare our findings to results on black hole or static, spherically symmetric solutions in teleparallel gravity discussed in the literature, by comparing the predictions for classical observables such as the photon sphere, the perihelion shift, the light deflection, and the Shapiro delay. On the basis of these observables, we demonstrate that among the solutions we found, there exist spacetime geometries that lead to much weaker bounds on teleparallel gravity than those found earlier. -
Quasar Jet Emission Model Applied to the Microquasar GRS 1915+105
A&A 415, L35–L38 (2004) Astronomy DOI: 10.1051/0004-6361:20040010 & c ESO 2004 Astrophysics Quasar jet emission model applied to the microquasar GRS 1915+105 M. T¨urler1;2, T. J.-L. Courvoisier1;2,S.Chaty3;4,andY.Fuchs4 1 INTEGRAL Science Data Centre, ch. d’Ecogia 16, 1290 Versoix, Switzerland 2 Observatoire de Gen`eve, ch. des Maillettes 51, 1290 Sauverny, Switzerland Letter to the Editor 3 Universit´e Paris 7, 2 place Jussieu, 75005 Paris, France 4 Service d’Astrophysique, DSM/DAPNIA/SAp, CEA/Saclay, 91191 Gif-sur-Yvette, Cedex, France Received 18 December 2003 / Accepted 14 January 2004 Abstract. The true nature of the radio emitting material observed to be moving relativistically in quasars and microquasars is still unclear. The microquasar community usually interprets them as distinct clouds of plasma, while the extragalactic com- munity prefers a shock wave model. Here we show that the synchrotron variability pattern of the microquasar GRS 1915+105 observed on 15 May 1997 can be reproduced by the standard shock model for extragalactic jets, which describes well the long-term behaviour of the quasar 3C 273. This strengthens the analogy between the two classes of objects and suggests that the physics of relativistic jets is independent of the mass of the black hole. The model parameters we derive for GRS 1915+105 correspond to a rather dissipative jet flow, which is only mildly relativistic with a speed of 0:60 c. We can also estimate that the shock waves form in the jet at a distance of about 1 AU from the black hole. -
Bright Quasar 3C 273 Thierry J-L Courvoisier
eaa.iop.org DOI: 10.1888/0333750888/2368 Bright Quasar 3C 273 Thierry J-L Courvoisier From Encyclopedia of Astronomy & Astrophysics P. Murdin © IOP Publishing Ltd 2006 ISBN: 0333750888 Institute of Physics Publishing Bristol and Philadelphia Downloaded on Thu Mar 02 22:49:19 GMT 2006 [131.215.103.76] Terms and Conditions Bright Quasar 3C 273 E NCYCLOPEDIA OF A STRONOMY AND A STROPHYSICS Bright Quasar 3C 273 the objects are moving apart from one another (expansion) and thus are at very large distances. At a redshift of 0.158 QUASARS are the most luminous objects we know in the 3C 273 is thus found to be some 3 billion light years away. universe. 3C 273 is among the brightest quasars; it also In 1963 3C 273 was the most distant object known (see also happens to be one of the closest to the Earth. It is therefore HIGH-REDSHIFT QUASARS). bright in the night sky and hence has been the object of Being so far away and still easy to find on intense studies since its discovery in 1963. photographic plates, 3C 273 is an object of 13th magnitude; Quasars are found in the center of some galaxies 3C 273 is clearly a very luminous object indeed. Its light 14 (collections of some hundred billion stars; the MILKY output corresponds to 10 times that of the Sun. WAY is the galaxy in which our solar system is Most quasars do not radiate substantially in the radio embedded). Quasars are very peculiar celestial objects, part of the electromagnetic spectrum, and are called radio they outshine the galaxy that hosts them, although quiet quasars. -
Gravitational Wave Detection by LIGO from Former Leader of LIGO, Prof
Gravitational Wave Detection by LIGO from Former Leader of LIGO, Prof. Barry Barish of Cal Tech Short Introduction to Black Holes by Dennis Silverman Dept. of Physics and Astronomy UC Irvine Lecture to OLLI at UC Irvine What is a Black Hole? • Imagine walking a short distance down hill. Then recall that you had to expend energy to get back up. If you call your potential energy zero at the starting level, your potential energy goes more negative as you descend, and then you add the opposite amount of positive energy to get back. • If an object is falling into a gravitational source, its negative potential energy is: • -GMm/r . If falling from rest, far away, the object’s starting energy is its rest energy E = m c². • As it descends, its total energy is E = -GMm/r + m c². • If it gets to small enough r, its energy total energy E becomes zero. • It can no longer climb back out. That distance is called the Event Horizon, and with a relativistic correction is at R = 2 GM/c², also called the Schwarzschild Radius after its discoverer in 1916. • The event horizon and its inside is called the Black Hole. Capture Orbits and the Photon Sphere around a Black Hole • 50% further than the black hole radius R is the photon sphere, at • Rɣ = 3 GM/c² • Outside the photon sphere, objects or planets can orbit as around a star, without being “sucked in”, contrary to many Hollywood depictions. • Exactly at the photon sphere, tangential photons can orbit around the black hole indefinitely. -
Chapter 7 Causality in Superluminal Pulse Propagation
Chapter 7 Causality in Superluminal Pulse Propagation Robert W. Boyd, Daniel J. Gauthier, and Paul Narum 7.1 Introduction The theory of electromagnetism for wave propagation in vacuum, as embodied by Maxwell’s equations, contains physical constants that can be combined to arrive at the speed of light in vacuum c. As shown by Einstein, consideration of the space– time transformation properties of Maxwell’s equations leads to the special theory of relativity. One consequence of this theory is that no information can be transmitted between two parties in a time shorter than it would take light, propagating through vacuum, to travel between the parties. That is, the speed of information transfer is less than or equal to the speed of light in vacuum c and information related to an event stays within the so-called light cone associated with the event. Hypothetical faster-than-light (superluminal) communication is very intriguing because relativis- tic causality would be violated. Relativistic causality is a principle by which an event is linked to a previous cause as viewed from any inertial frame of reference; superluminal communication would allow us to change the outcome of an event after it has happened. Soon after Einstein published the theory of relativity, scientists began the search for examples where objects or entities travel faster than c. There are many known examples of superluminal motion [1]. One example arises when observing radio emission in certain expanding galaxies known as superluminal stellar objects. This motion can be explained by considering motions of particles whose speed is just below c (i.e., highly relativistic) and moving nearly along the axis connecting the object and the observer [2]. -
Schwarzschild Metric the Kerr Metric for Rotating Black Holes Black Holes Black Hole Candidates
Astronomy 421 Lecture 24: Black Holes 1 Outline General Relativity – Equivalence Principle and its Consequences The Schwarzschild Metric The Kerr Metric for rotating black holes Black holes Black hole candidates 2 The equivalence principle Special relativity: reference frames moving at constant velocity. General relativity: accelerating reference frames and equivalence gravity. Equivalence Principle of general relativity: The effects of gravity are equivalent to the effects of acceleration. Lab accelerating in free space with upward acceleration g Lab on Earth In a local sense it is impossible to distinguish between the effects of a gravity with an acceleration g, and the effects of being far from any gravity in an upward-accelerated frame with g. 3 Consequence: gravitational deflection of light. Light beam moving in a straight line through a compartment that is undergoing uniform acceleration in free space. Position of light beam shown at equally spaced time intervals. a t 1 t2 t3 t4 t1 t2 t3 t4 In the reference frame of the compartment, light travels in a parabolic path. Δz Same thing must happen in a gravitational field. 4 t 1 t2 t3 t4 For Earth’s gravity, deflection is tiny: " gt2 << ct => curvature small.! Approximate parabola as a circle. Radius is! 5! Observed! In 1919 eclipse by Eddington! 6! Gravitational lensing of a single background quasar into 4 objects! 1413+117 the! “cloverleaf” quasar! A ‘quad’ lens! 7! Gravitational lensing. The gravity of a foreground cluster of galaxies distorts the images of background galaxies into arc shapes.! 8! Saturn-mass! black hole! 9! Another consequence: gravitational redshift. Consider an accelerating elevator in free space. -
Ergosphere, Photon Region Structure, and the Shadow of a Rotating Charged Weyl Black Hole
galaxies Article Ergosphere, Photon Region Structure, and the Shadow of a Rotating Charged Weyl Black Hole Mohsen Fathi 1,* , Marco Olivares 2 and José R. Villanueva 1 1 Instituto de Física y Astronomía, Universidad de Valparaíso, Avenida Gran Bretaña 1111, Valparaíso 2340000, Chile; [email protected] 2 Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago 8370109, Chile; [email protected] * Correspondence: [email protected] Abstract: In this paper, we explore the photon region and the shadow of the rotating counterpart of a static charged Weyl black hole, which has been previously discussed according to null and time-like geodesics. The rotating black hole shows strong sensitivity to the electric charge and the spin parameter, and its shadow changes from being oblate to being sharp by increasing in the spin parameter. Comparing the calculated vertical angular diameter of the shadow with that of M87*, we found that the latter may possess about 1036 protons as its source of electric charge, if it is a rotating charged Weyl black hole. A complete derivation of the ergosphere and the static limit is also presented. Keywords: Weyl gravity; black hole shadow; ergosphere PACS: 04.50.-h; 04.20.Jb; 04.70.Bw; 04.70.-s; 04.80.Cc Citation: Fathi, M.; Olivares, M.; Villanueva, J.R. Ergosphere, Photon Region Structure, and the Shadow of 1. Introduction a Rotating Charged Weyl Black Hole. The recent black hole imaging of the shadow of M87*, performed by the Event Horizon Galaxies 2021, 9, 43.