Rényi second laws for black holes
A bstract Hawking’s black hole area theorem provides a geometric realization of the second law of thermodynamics and constrains gravitational processes. In this work we explore a one-parameter extension of this constraint formulated in terms of the monotonicity properties of Rényi entropies. We focus on black hole mergers in asymptotically AdS space and determine new restrictions which these Rényi second laws impose on the final state. We evaluate the entropic inequalities starting from the thermodynamic ensembles description of black hole geometries, and find that for many situations they set more stringent bounds than those imposed by the area increase theorem.
Authors
- Alice Bernamonti (ORCID: https://orcid.org/0000-0003-1342-3101)
- Robert C. Myers (ORCID: https://orcid.org/0000-0002-6715-8342)
- Ignacio A. Reyes (ORCID: https://orcid.org/0000-0001-5456-5590)
- Federico Galli (ORCID: https://orcid.org/0000-0002-9156-2011)
Institutions
- Perimeter Institute (CA)
- Istituto Nazionale di Fisica Nucleare, Sezione di Firenze (IT)
- University of Florence (IT)
- University of Amsterdam (NL)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2024-10-24
- DOI
- https://doi.org/10.1007/jhep10(2024)177
- Citations
- 2
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- Government of Canada
- Institut Périmètre de physique théorique
- Natural Sciences and Engineering Research Council of Canada
- Engineering and Physical Sciences Research Council
- Division of Mathematical Sciences