Shadow of Kottler black hole in the presence of plasma for a co-moving observer

Abstract

We consider a spherically symmetric black hole metric in (3+1)-dimensions in presence of a positive cosmological constant $\Lambda$. We use a general approach as proposed in \cite{1} to transform the metric in co-moving coordinates. Then for a general metric we have evaluated the angular shadow size both in absence and presence of plasma. By using the aberration relation, we then find the corresponding shadow radius as viewed by a co-moving observer for Schwarzschild de-Sitter or Kottler spacetime. The effect of cosmological constant $\Lambda$ and plasma parameter $k$ on the angular size of black hole shadow has been observed in detail. Finally, by using the observed angular size of M87${}^{\ast }$ and Sgr A${}^{\ast }$ black hole, we constrain the value of the plasma parameter $k$ with a specific observational value of the cosmological constant $\Lambda$ (or the Hubble constant $H_0$).

V1, 21 Pages, 12 Figures; V2, 23 Pages, 18 Figures; Accepted in Classical and Quantum Gravity

References in corpus (33)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Calculating black hole shadows: Review of analytical studies
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity
• Shadow of a Kaluza-Klein rotating dilaton black hole
• Stationary black holes and light rings
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Frequency-dependent effects of gravitational lensing within plasma
• Shadow cast and deflection of light by charged rotating regular black holes
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Shadow casted by a Konoplya-Zhidenko rotating non-Kerr black hole
• Shadow analysis for rotating black holes in the presence of plasma for an expanding universe
• Understanding photon sphere and black hole shadow in dynamically evolving spacetimes
• Testing Rotating Regular Metrics with EHT Results of Sgr A*
• Gravitational lensing in a non-uniform plasma
• Optical properties of Kerr-Newman spacetime in the presence of plasma
• Deriving accurate peculiar velocities (even at high redshift)
• Shadow of a Charged Rotating Non-Commutative Black Hole
• A study on black hole shadows in asymptotically de Sitter spacetimes
• The shadow and photon sphere of the charged black hole in Rastall gravity
• On the Size of a Black Hole: The Schwarzschild is the Biggest
• Investigation of circular geodesics in a rotating charged black hole in the presence of perfect fluid dark matter
• Kerr black holes with synchronised Proca hair: lensing, shadows and EHT constraints
• Geometric Approach to Circular Photon Orbits and Black Hole Shadows
• Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma
• Estimating the cosmological constant from shadows of Kerr--de Sitter black holes
• Deep Images of the Galactic Center with GRAVITY
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• Shadow of a Kerr-Sen dilaton-axion Black Hole
• Light from Schwarzschild Black Holes in de Sitter expanding universe
• Relativistic Aberration and the Cosmological Constant in Gravitational Lensing I: Introduction

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