Extending the isolated horizon phase space to string-inspired gravity models

TL;DR

This paper extends the isolated horizon framework to string-inspired gravity models like Einstein-Maxwell-Chern-Simons and Einstein-Gauss-Bonnet theories, analyzing black hole solutions and their properties in higher dimensions.

Contribution

It introduces the isolated horizon phase space extension to string-inspired gravity models, exploring black hole solutions in higher-dimensional theories.

Findings

Characterized non-extremal, extremal, and supersymmetric IHs in EM-CS theory.

Analyzed non-rotating IHs in Einstein-Gauss-Bonnet theory.

Identified generic features of black holes in these extended models.

Abstract

An isolated horizon (IH) is a null hypersurface at which the geometry is held fixed. This generalizes the notion of an event horizon so that the black hole is an object that is in local equilibrium with its (possibly) dynamic environment. The first law of IH mechanics that arises from the framework relates quantities that are all defined at the horizon. IHs have been extensively studied in Einstein gravity with various matter couplings and rotation, and in asymptotically flat and asymptotically anti-de Sitter (ADS) spacetimes in all dimensions $D\geq3$. Motivated by the nonuniqueness of black holes in higher dimensions and by the black-hole/string correspondence principle, we devote this thesis to the extension of the framework to include IHs in string-inspired gravity models, specifically to Einstein-Maxwell-Chern-Simons (EMCS) theory and to Einstein-Gauss-Bonnet (EGB) theory in higher dimensions. The focus is on determining the generic features of black holes that are solutions to the field equations of the theories under consideration. We obtain various results for non-extremal, extremal and supersymmetric IHs in EM-CS theory, and for non-rotating IHs in EGB theory. (An extended abstract is given in the PDF file.)