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Title: Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant

Abstract

In this paper I show that one can have asymptotically de Sitter, anti-de Sitter (AdS), and flat solutions in Gauss-Bonnet gravity without a cosmological constant term in field equations. First, I introduce static solutions whose three surfaces at fixed r and t have constant positive (k=1), negative (k=-1), or zero (k=0) curvature. I show that for k={+-}1 one can have asymptotically de Sitter, AdS, and flat spacetimes, while for the case of k=0, one has only asymptotically AdS solutions. Some of these solutions present naked singularities, while some others are black hole or topological black hole solutions. I also find that the geometrical mass of these five-dimensional spacetimes is m+2{alpha}|k|, which is different from the geometrical mass m of the solutions of Einstein gravity. This feature occurs only for the five-dimensional solutions, and is not repeated for the solutions of Gauss-Bonnet gravity in higher dimensions. Second, I add angular momentum to the static solutions with k=0, and introduce the asymptotically AdS charged rotating solutions of Gauss-Bonnet gravity. Finally, I introduce a class of solutions which yields an asymptotically AdS spacetime with a longitudinal magnetic field, which presents a naked singularity, and generalize it to the case of magnetic rotating solutionsmore » with two rotation parameters.« less

Authors:
 [1]
  1. Physics Department and Biruni Observatory, Shiraz University, Shiraz 71454, Iran (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
20705241
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.70.064019; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; ASYMPTOTIC SOLUTIONS; BLACK HOLES; COSMOLOGICAL CONSTANT; COSMOLOGY; DE SITTER GROUP; EINSTEIN FIELD EQUATIONS; GRAVITATION; MAGNETIC FIELDS; MASS; ROTATION; SINGULARITY; SPACE-TIME; TOPOLOGY

Citation Formats

Dehghani, M H, Institute for Studies in Theoretical Physics and Mathematics, and Research Institute for Astrophysics and Astronomy of Maragha, P.O. Box 55134-441, Maragha. Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.064019.
Dehghani, M H, Institute for Studies in Theoretical Physics and Mathematics, & Research Institute for Astrophysics and Astronomy of Maragha, P.O. Box 55134-441, Maragha. Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant. United States. doi:10.1103/PhysRevD.70.064019.
Dehghani, M H, Institute for Studies in Theoretical Physics and Mathematics, and Research Institute for Astrophysics and Astronomy of Maragha, P.O. Box 55134-441, Maragha. Wed . "Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant". United States. doi:10.1103/PhysRevD.70.064019.
@article{osti_20705241,
title = {Asymptotically (anti)-de Sitter solutions in Gauss-Bonnet gravity without a cosmological constant},
author = {Dehghani, M H and Institute for Studies in Theoretical Physics and Mathematics and Research Institute for Astrophysics and Astronomy of Maragha, P.O. Box 55134-441, Maragha},
abstractNote = {In this paper I show that one can have asymptotically de Sitter, anti-de Sitter (AdS), and flat solutions in Gauss-Bonnet gravity without a cosmological constant term in field equations. First, I introduce static solutions whose three surfaces at fixed r and t have constant positive (k=1), negative (k=-1), or zero (k=0) curvature. I show that for k={+-}1 one can have asymptotically de Sitter, AdS, and flat spacetimes, while for the case of k=0, one has only asymptotically AdS solutions. Some of these solutions present naked singularities, while some others are black hole or topological black hole solutions. I also find that the geometrical mass of these five-dimensional spacetimes is m+2{alpha}|k|, which is different from the geometrical mass m of the solutions of Einstein gravity. This feature occurs only for the five-dimensional solutions, and is not repeated for the solutions of Gauss-Bonnet gravity in higher dimensions. Second, I add angular momentum to the static solutions with k=0, and introduce the asymptotically AdS charged rotating solutions of Gauss-Bonnet gravity. Finally, I introduce a class of solutions which yields an asymptotically AdS spacetime with a longitudinal magnetic field, which presents a naked singularity, and generalize it to the case of magnetic rotating solutions with two rotation parameters.},
doi = {10.1103/PhysRevD.70.064019},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 70,
place = {United States},
year = {2004},
month = {9}
}