Evolving black holes in inflation

Gregory, Ruth; Kastor, David; Traschen, Jennie

doi:10.1088/1361-6382/aacec2

Evolving black holes in inflation

Gregory, Ruth; Kastor, David; Traschen, Jennie

Authors

Ruth Gregory

David Kastor

Jennie Traschen

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
Related Public URLs	https://arxiv.org/abs/1804.03462

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Copyright Statement
This is an author-created, un-copyedited version of an article accepted for publication/published in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6382/aacec2