Three dimensional dilatonic gravity's rainbow: exact solutions

Abstract

Deep relations of dark energy scenario and string theory results into dilaton gravity, on one hand, and the connection between quantum gravity with gravity's rainbow, on the other hand, motivate us to consider three dimensional dilatonic black hole solutions in gravity's rainbow. We obtain two classes of the solutions which are polynomial and logarithmic forms. We also calculate conserved and thermodynamic quantities, and examine the first law of thermodynamics for both classes. In addition, we study thermal stability and show that one of the classes is thermally stable while the other one is unstable.

8 pages and 3 figures. Matches published version

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• Thermodynamic topology of topological charged dilatonic black holes
• EUP-corrected thermodynamics of BTZ black hole
• Gravitational Collapse for the K-essence Emergent Vaidya Spacetime
• Phase Structure and QNMs of A Charged AdS Dilaton Black Hole
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
• Thermodynamics of charged AdS black holes in rainbow gravity
• Dynamics of domain wall in charged AdS dilaton black hole spacetime
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity