TL;DR
This paper derives and analyzes exact black hole solutions in Born-Infeld-f(R) gravity, revealing novel thermodynamic behaviors and deviations from general relativity, with implications for modified gravity theories.
Contribution
It presents the first exact black hole solutions in Born-Infeld-f(R) gravity and studies their thermodynamic properties and deviations from standard black holes.
Findings
Derived exact black hole solutions in Born-Infeld-f(R) gravity.
Found thermodynamic properties differ from general relativity predictions.
Compared solutions with Schwarzschild-AdS black holes showing significant corrections.
Abstract
We explore black hole solutions in the context of Born-Infeld-f(R) gravity, a modified gravitational framework that extends both Born-Infeld and f(R) theories. By adopting a static, spherically symmetric spacetime ansatz, we derive an exact black hole solution and investigate its geometrical structure. We proceed to analyze the thermodynamic properties of the solution, including the Hawking temperature, entropy, and specific heat, with particular emphasis on their dependence on the model parameters. Our results reveal novel thermodynamic behavior that deviates significantly from the standard predictions of general relativity. A comparative study with the Schwarzschild-AdS black holes is also presented, showing how Born-Infeld-f(R) corrections alter black hole thermodynamics.
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