Towards the uniqueness of Lifshitz black holes and solitons in new massive gravity

E. Ayon-Beato; M. Hassaine; M. M. Juarez-Aubry

Abstract

We prove that the z = 1 and z = 3 Lifshitz black hole solutions of new massive gravity in three dimensions are the only static axisymmetric solutions that can be cast in a Kerr-Schild form with a seed metric given by the Lifshitz spacetime. Correspondingly, we study the issue of uniqueness of Lifshitz solitons when considering an ansatz involving a single metric function. We show this problem can be mapped to the previous one and that the z = 1 and z = 1/3 Lifshitz soliton solutions are the only ones within this class. Finally, our approach suggests for the first time an explanation as to what is special about those particular values of the dynamical critical exponent z at finite temperature.

Más información

Título según WOS: Towards the uniqueness of Lifshitz black holes and solitons in new massive gravity
Título de la Revista: PHYSICAL REVIEW D
Volumen: 90
Número: 4
Editorial: American Physical Society
Fecha de publicación: 2014
Idioma: English
DOI:

10.1103/PhysRevD.90.044026

Notas: ISI - ISI