Instantons For Black Hole Pair Production

Details Instantons For Black Hole Pair Production Instantons For Black Hole Pair Production

1998-11-23

arxiv.org/abs/gr-qc/9811079v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 2 LaTeX figures, content changes, sign corrections, to be published in a festschrift for J. V. Narlikar

Scientific paper

We address the issue of constructing continuous instantons representing the pair creation of black holes in a cosmological context. The recent attempt at constructing such solutions using virtual domain walls is reviewed first. We then explore the existence of continuous instantons in higher curvature gravity theories where the Lagrangian is polynomial in the Ricci scalar. Lastly, we study continuous instanton solutions of ordinary gravity coupled to the Narlikar C-field. For each theory, we first consider the case of finding continuous instanton solutions which represent the "near-annihilation" of a de Sitter universe and its subsequent recreation. In situations where these solutions exist, we then ask whether solutions can be found that represent the "near-annihilation" of a de Sitter spacetime and the subsequent creation of a pair of Schwarzschild-de Sitter black holes.

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