Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity

Abstract

In this work, we investigate regular black hole solutions in nonminimal Einstein-Yang-Mills theory modified by Rainbow Gravity, focusing on the impact of quantum gravity effects on their thermodynamics, particle emission, energy conditions, curvature, and shadow formation. We find that the rainbow parameter $\lambda$ alters Hawking's temperature, entropy, and specific heat, leading to modified phase transitions and the possible formation of remnants. We calculate the graybody factor demonstrating that particle emission is enhanced with increasing $\lambda$, reflecting the behavior of the temperature and confirming the impact of the rainbow parameter on the evaporation process. Energy conditions are violated inside the black hole, with violations intensifying for larger $\lambda$. We also show that Rainbow Gravity mitigates singularity formation by softening the curvature near the origin, contributing to the regularity of the solution. Finally, we study the black hole shadow and demonstrate that its radius decreases as quantum gravity effects strengthen, suggesting potential observational tests for Rainbow Gravity. These results highlight the role of Rainbow Gravity in modifying black hole physics and provides a framework for exploring quantum gravitational corrections in astrophysical scenarios.

References in corpus (63)

• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black hole entropy in Loop Quantum Gravity
• Quantum Spacetime Phenomenology
• Generalized Lorentz invariance with an invariant energy scale
• Calculating black hole shadows: Review of analytical studies
• Gravity's Rainbow
• Ultraluminous X-Ray Sources
• Black-bounce to traversable wormhole
• Black Hole Remnants and the Information Loss Paradox
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Quantum Extension of the Kruskal Space-time
• Signatures of primordial black hole dark matter
• String theories with deformed energy momentum relations, and a possible non-tachyonic bosonic string
• Some general bounds for 1-D scattering
• Thermodynamics of modified black holes from gravity's rainbow
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Remnant for all Black Objects due to Gravity's Rainbow
• Charged Dilatonic Black Holes in Gravity's Rainbow
• Regular black holes and energy conditions
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Modified TOV in gravity's rainbow: properties of neutron stars and dynamical stability conditions
• Thermodynamic phase transition of a black hole in rainbow gravity
• Light rings and shadows of static black holes in effective quantum gravity
• Black Hole Remnant from Gravity's Rainbow
• THE NUMBER OF SPHALERON INSTABILITIES OF THE BARTNIK-McKINNON SOLITONS AND NON-ABELIAN BLACK HOLES
• Regular black hole remnants and graviatoms with de Sitter interior as heavy dark matter candidates probing inhomogeneity of early universe
• Comments on magnetic black holes
• Primordial Extremal Black Holes as Dark Matter
• Black Hole Shadow in Symmergent Gravity
• On the running of the gravitational constant
• Entropy and temperature of black holes in a gravity's rainbow
• Quantum Gravitational Corrections to the Entropy of a Schwarzschild Black Hole
• Quantum Gravity and Lorentz invariance violation in the Standard Model
• Non-minimal Wu-Yang monopole
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• Hawking radiation of nonsingular black holes in two dimensions
• Bounding the Bogoliubov coefficients
• Logarithmic correction to black hole entropy from the nonlocality of quantum gravity
• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• Hairy Black Holes, Horizon Mass and Solitons
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• Bardeen regular black hole as a quantum-corrected Schwarzschild black hole
• Regular Black Holes in Rainbow Gravity
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• On the computation of black hole entropy in loop quantum gravity
• Casimir Effect in the Rainbow Einstein's Universe
• Dark matter production via a non-minimal coupling to gravity
• Greybody factors emitted by a regular black hole in a non-minimally coupled Einstein-Yang-Mills theory
• Greybody factors for massive scalar field emitted from black holes in dRGT massive gravity
• Thermodynamics and remnants of Kiselev black holes in Rainbow gravity
• Non-Critical Liouville String Escapes Constraints on Generic Models of Quantum Gravity
• Energy Scale of Lorentz Violation in Rainbow Gravity
• Pure Lovelock Gravity regular black holes
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Remarks on the effects of the quintessence on regular black holes