Asymptotically (anti)de Sitter solutions in GaussBonnet gravity without a cosmological constant
Abstract
In this paper I show that one can have asymptotically de Sitter, antide Sitter (AdS), and flat solutions in GaussBonnet 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 fivedimensional 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 fivedimensional solutions, and is not repeated for the solutions of GaussBonnet 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 GaussBonnet 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 »
 Authors:

 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 05562821
 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; SPACETIME; 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 55134441, Maragha. Asymptotically (anti)de Sitter solutions in GaussBonnet 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 55134441, Maragha. Asymptotically (anti)de Sitter solutions in GaussBonnet 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 55134441, Maragha. Wed .
"Asymptotically (anti)de Sitter solutions in GaussBonnet gravity without a cosmological constant". United States. doi:10.1103/PhysRevD.70.064019.
@article{osti_20705241,
title = {Asymptotically (anti)de Sitter solutions in GaussBonnet 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 55134441, Maragha},
abstractNote = {In this paper I show that one can have asymptotically de Sitter, antide Sitter (AdS), and flat solutions in GaussBonnet 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 fivedimensional 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 fivedimensional solutions, and is not repeated for the solutions of GaussBonnet 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 GaussBonnet 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 = {05562821},
number = 6,
volume = 70,
place = {United States},
year = {2004},
month = {9}
}