Evolving black holes in inflation

Gregory, Ruth; Kastor, David; Traschen, Jennie

Abstract

We present an analytic, perturbative solution to the Einstein equations with a scalar field that describes dynamical black holes in a slow-roll inflationary cosmology. We show that the metric evolves quasi-statically through a sequence of Schwarzschild–de Sitter like metrics with time dependent cosmological constant and mass parameters, such that the cosmological constant is instantaneously equal to the value of the scalar potential. The areas of the black hole and cosmological horizons each increase in time as the effective cosmological constant decreases, and the fractional area increase is proportional to the fractional change of the cosmological constant, times a geometrical factor. For black holes ranging in size from much smaller than to comparable to the cosmological horizon, the pre-factor varies from very small to order one. The 'mass first law' and the 'Schwarzchild–de Sitter patch first law' of thermodynamics are satisfied throughout the evolution.

Citation

Gregory, R., Kastor, D., & Traschen, J. (2018). Evolving black holes in inflation. Classical and Quantum Gravity, 35(15), Article 155008. https://doi.org/10.1088/1361-6382/aacec2

• Journal Article Type: Article
• Acceptance Date: Jun 25, 2018
• Online Publication Date: Jul 6, 2018
• Publication Date: Jul 6, 2018
• Deposit Date: Jul 6, 2018
• Publicly Available Date: Jul 6, 2019
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 35
• Issue: 15
• Article Number: 155008
• DOI: https://doi.org/10.1088/1361-6382/aacec2
• Public URL: https://durham-repository.worktribe.com/output/1326832
• Related Public URLs: https://arxiv.org/abs/1804.03462