R\'enyi second laws for black holes

• DOI: 10.48550/arxiv.2407.01753
• Publication Date: 2024-07-01
• Authors: Alice Bernamonti; Federico Galli; Robert C. Myers; Ignacio A. Reyes
• Keywords: High Energy Physics - Theory; Quantum Physics; Black Holes; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; FOS: Physical sciences; QC770-798; General Relativity and Quantum Cosmology (gr-qc); AdS-CFT Correspondence; AdS-CFT Correspondence; Black Holes; Classical Theories of Gravity; Quantum Physics (quant-ph); Classical Theories of Gravity; General Relativity and Quantum Cosmology

Hawking's black hole area theorem provides a geometric realization of the second law thermodynamics and constrains gravitational processes. In this work we explore one-parameter extension constraint formulated in terms monotonicity properties R\'enyi entropies. We focus on mergers asymptotically AdS space determine new restrictions which these laws impose final state. evaluate entropic inequalities starting from thermodynamic ensembles description geometries, find that for many situations they set more stringent bounds than those imposed by increase theorem.