Accelerating AdS black holes in gravity's rainbow

Abstract

Motivated by the effect of the energy of moving particles in $C-$metric, we first obtain exact accelerating black hole solutions in gravity's rainbow. Then, we study the effects of gravity's rainbow and $C-$metric parameters on the Ricci and Kretschmann scalars, and also the asymptotical behavior of this solution. Next, we indicate how different parameters of the obtained accelerating black holes in gravity's rainbow affect thermodynamics quantities (such as the Hawking temperature, and entropy) and the local stability (by evaluating the heat capacity). In the following, we extract the geodesic equations to determine the effects of various parameters on photon trajectory in the vicinity of this black hole, as well as obtain the radius of the photon sphere and the corresponding critical impact parameter to gain insight into AdS black hole physics by adding the gravity's rainbow to $C-$metric.

arXiv comment12 pages, 4 figures, 1 table

References in corpus (47)

• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Testable scenario for Relativity with minimum-length
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Calculating black hole shadows: Review of analytical studies
• Gravity's Rainbow
• A new look at the Plebanski-Demianski family of solutions
• Thermodynamics of Accelerating Black Holes
• Interpreting the C-metric
• Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT
• Holographic Thermodynamics of Accelerating Black Holes
• Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings
• Nonsingular Rainbow Universes
• Charged Dilatonic Black Holes in Gravity's Rainbow
• Modified TOV in gravity's rainbow: properties of neutron stars and dynamical stability conditions
• Phenomenology of Doubly Special Relativity
• Black Hole Thermodynamics with Conical Defects
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Thermodynamics of Regular Accelerating Black Holes
• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Quantum Time Uncertainty in a Gravity's Rainbow Formalism
• Rainbow universe
• Accelerating Black Hole Chemistry
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• Dark matter spike around Bumblebee black holes
• Modified Dispersion Relations and Black Hole Entropy
• Branes in Gravity's Rainbow
• Gravitational Collapse in Gravity's Rainbow
• Thermodynamics of charged accelerating AdS black holes and holographic heat engines
• Accelerating AdS black holes as the holographic heat engines in a benchmarking scheme
• Casimir Effect in the Rainbow Einstein's Universe
• Naked Singularities are not Singular in Distorted Gravity
• Does Gravity's Rainbow induce Inflation without an Inflaton?
• Lightlike Geodesics and Gravitational Lensing in the Spacetime of an Accelerating Black Hole
• Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes
• Charged Accelerating BTZ black holes
• Effect of rainbow function on the structural properties of dark energy star
• Quantum Rainbow Cosmological Model With Perfect Fluid
• Accelerating and Charged Type I Black Holes
• Dark Energy Star in Gravity's Rainbow
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
• Conical Holographic Heat Engines
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Magnetised relativistic accretion disc around a spinning, electrically charged, accelerating black hole: case of C-metric

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• Black holes immersed in polytropic scalar field gas