Jul 20 – 24, 2015
Frankfurt Institute for Advanced Studies
Europe/Berlin timezone

Three-dimensional gravity with a conformally coupled scalar field: Chern-Simons-like formulation and black hole thermodynamics

Jul 20, 2015, 2:40 PM
20m
Frankfurt Institute for Advanced Studies

Frankfurt Institute for Advanced Studies

Goethe-Universität FrankfurtCampus Riedberg Ruth-Moufang-Straße 1 60438 Frankfurt am Main GERMANY

Speaker

Ms Marcela Cárdenas (Universidad de Concepción, Centro de Estudios Científicos)

Description

We present a Chern-Simons-like description of three-dimensional gravity with negative cosmological constant, where the matter source is a conformally coupled real scalar field. This description is based on a first-order action that provides a set of field equations equivalent to that derived from the usual second-order action. The system admits a rotating hairy black hole solution, which is accordingly expressed in terms of the first-order fields. The mass, angular momentum and entropy are obtained from the Chern-Simons-like Euclidean action in the grand canonical ensemble. Regularity conditions at the horizon are provided when the holonomies along the thermal cycle are computed. This procedure establishes the relations between the integration constants that characterizes the hairy black hole and the fixed chemical potentials.

Primary author

Ms Marcela Cárdenas (Universidad de Concepción, Centro de Estudios Científicos)

Co-authors

Dr Cristián Martinez (Centro de Estudios Científicos) Mr Oscar Fuentealba (Universidad de Concepción, Centro de Estudios Científicos)

Presentation materials