Talk detail

MG14 - Talk detail

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 Participant

Quinta, Gonçalo

Institution

Instituto Superior Técnico - University of Lisbon  - Avenida Rovisco Pais 1 - Lisboa - Lisboa - Portugal

Session

BH4

Accepted

Order

Time

Talk

Oral abstract

Title

Entropy of d-dimensional thin shells and black hole limit
Coauthors

Abstract

A d-dimensional static thin matter shell in a Schwarzschild spacetime is studied at the mechanical and thermodynamical levels. By specifying the nature of the spacetime around the shell we are led to a set of equations for the rest mass density and pressure which determine its mechanical behavior. A thermodynamic study of the shell is thus attainable by first calculating the entropy of the shell followed by a thermodynamic stability analysis. The shell is finally taken to its gravitational radius, where we recover the Bekenstein-Hawking entropy of a d-dimensional Schwarzschild black hole.

Pdf file

 

Session

QF2

Accepted

Order

Time

Talk

Oral abstract

Title

Vacuum polarization around Lifshitz black holes
Coauthors

Abstract

The vacuum polarization of a scalar field around a Lifshitz black hole geometry is studied using a WKB analytic expansion and a point-splitting regularization. We follow the standard approach, which consists in regularizing the divergences of the Green function using a point-splitting method, subtracting them from the initial expression and finally taking the coincidence limit, thus obtaining a renormalized result. The final expression is naturally expressed in terms of generalized zeta functions. We demonstrate some methods to numerically compute these quantities which are then used to evaluate the vacuum polarization for a massless scalar field in a particular choice of Lifshitz spacetime.

Pdf file

 

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