Quantum-Corrected Thermodynamics of AdS-Rindler Black Holes
Abstract
We investigate the thermodynamic properties and stability of hyperbolic (AdS–Rindler) black holes, emphasizing the effects of non perturbative quantum correction. Using standard thermodynamic formulations alongside the Poincar´e disk method, we compute key quantities including mass, Hawking temperature, entropy, and heat capacity. To account for quantum gravitational effects, we introduce an exponential correction to the Bekenstein–Hawking entropy and systematically derive the modified thermodynamic parameters. While the corrected entropy yields consistent adjustments, the heat capacity exhibits nontrivial behavior, leading to narrower and more gradual stable regions (Δr(d)) for each dimension d. Moreover, the smoothing of sharp entropy variations near rh=1 emphasizes how horizon geometry governs the impact of quantum corrections. This study provides the novel systematic identification of stable regions before and after exponential corrections of (AdS–Rindler) black holes, offering new insights into the interplay of geometry, dimensionality, and quantum effects in black hole thermodynamics.
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