Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes

TL;DR

This thesis explores exact black hole solutions across three, four, and higher dimensions, focusing on pair creation processes and gravitational radiation, to deepen understanding of black hole physics and quantum effects.

Contribution

It provides new exact solutions for single and paired accelerated black holes in various dimensions, and analyzes their quantum pair creation and associated gravitational radiation.

Findings

Exact solutions for black holes in multiple dimensions.

Detailed analysis of black hole pair creation processes.

Quantification of gravitational radiation during pair creation.

Abstract

Black holes, first found as solutions of Einstein's General Relativity, are important in astrophysics, since they result from the gravitational collapse of a massive star or a cluster of stars, and in physics since they reveal properties of the fundamental physics, such as thermodynamic and quantum properties of gravitation. In order to better understand the black hole physics we need exact solutions that describe one or more black holes. In this thesis we study exact solutions in three, four and higher dimensional spacetimes. The study in 3-dimensions is important due to the simplification of the problem, while the discussion in higher dimensions is essential due to the fact that many theories indicate that extra dimensions exist in our universe. In this thesis, in any of the dimensions mentioned above, we study exact solutions with a single black hole and exact solutions that describe a pair of uniformly accelerated black holes (C-metric), with the acceleration source being well identified. This later solutions are then used to study in detail the quantum process of black hole pair creation in an external field. We also compute the gravitational radiation released during this pair creation process. KEYWORDS: Exact black hole solutions; Pair of accelerated black holes, C-metric, Ernst solution; Pair creation of black holes; Gravitational radiation; D-dimensional spacetimes; Cosmological constant backgrounds.