Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity

Abstract

One of the foremost goals of theoretical modern physics is to obtain a reliable theory of quantum gravity. In so doing, new fundamental scales are being proposed. For example, in the Snyder - de Sitter model, two scales manifest which relate measurement limits of the position and momentum. In this work, we study the thermodynamic functions of the Scharwzschild black hole in the Snyder - de Sitter model within the presence of position-independent and dependent gravity's rainbow. Heuristically, we prove the presence of a non-zero lower bound value of the horizon, mass, and temperature of the black hole. Then, we present the stability and remnant conditions of the black hole according to the entropy and heat capacity functions.

arXiv comment16 pages 12 figures

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• Dark Energy Star in Gravity's Rainbow
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• Van der Waals black holes in rainbow gravity
• KG- oscillators in a spinning cosmic string spacetime and an external magnetic field