Modified dispersion relations and black hole physics

Abstract

A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy of black holes. In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black holes approaching the Planck scale. It can prevent black holes from total evaporation, as a result providing a plausible mechanism to treat the remnant of black holes as a candidate for dark matter.

4 pages, Revtex. Final version to appear in PRD

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Cited by in corpus (56)

• Black hole thermodynamics with generalized uncertainty principle
• Thermodynamics of modified black holes from gravity's rainbow
• Remnant for all Black Objects due to Gravity's Rainbow
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Entropy and temperature of black holes in a gravity's rainbow
• Singularities and the Finale of Black Hole Evaporation
• Modified Dispersion Relations lead to a finite Zero Point Gravitational Energy
• Hawking radiation as tunneling from Gravity's rainbow
• Modified (A)dS Schwarzschild black holes in Rainbow spacetime
• New agegraphic dark energy model with generalized uncertainty principle
• Rainbow universe
• Modified dispersion relations in extra dimensions
• Geometry of physical dispersion relations
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Analogue simulations of quantum gravity with fluids
• Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• Modified Dispersion Relations and Black Hole Entropy
• More on the initial singularity problem in gravity's rainbow cosmology
• Thermodynamic phase transition in the rainbow Schwarzschild black hole
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• Regular black holes with sub-Planckian curvature
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• Electric Charges and Magnetic Monopoles in Gravity's Rainbow
• Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
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• Thermodynamics and Luminosities of Rainbow Black Holes
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• Laboratory soft x-ray emission due to the Hawking-Unruh effect?
• Brane-world black hole entropy from modified dispersion relations
• Quantization of general linear electrodynamics
• A first step towards the inflationary trans-planckian problem treatment in Loop Quantum Cosmology
• Bouncing universe from a modified dispersion relation
• Thermal fluctuations in viscous cosmology
• The effect of modified dispersion relations on the thermodynamics of Schwarzschild black hole surrounded by quintessence
• Bouncing universe with modified dispersion relation
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• Fractional quantum mechanics meets quantum gravity phenomenology
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Listening to Quantum Gravity?