TaubNUT/bolt black holes in GaussBonnetMaxwell gravity
Abstract
We present a class of higherdimensional solutions to GaussBonnetMaxwell equations in 2k+2 dimensions with a U(1) fibration over a 2kdimensional base space B. These solutions depend on two extra parameters, other than the mass and the NewmanUntiTamburino charge, which are the electric charge q and the electric potential at infinity V. We find that the form of metric is sensitive to geometry of the base space, while the form of electromagnetic field is independent of B. We investigate the existence of TaubNewmanUntiTamburino/bolt solutions and find that in addition to the two conditions of uncharged NewmanUntiTamburino solutions, there exist two other conditions. These two extra conditions come from the regularity of vector potential at r=N and the fact that the horizon at r=N should be the outer horizon of the black hole. We find that for all nonextremal NewmanUntiTamburino solutions of Einstein gravity having no curvature singularity at r=N, there exist NewmanUntiTamburino solutions in GaussBonnetMaxwell gravity. Indeed, we have nonextreme NewmanUntiTamburino solutions in 2+2k dimensions only when the 2kdimensional base space is chosen to be CP{sup 2k}. We also find that the GaussBonnetMaxwell gravity has extremal NewmanUntiTamburino solutions whenever the base space is a product of 2torii with at most amore »
 Authors:

 Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)
 Publication Date:
 OSTI Identifier:
 20782920
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 73; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.73.084021; (c) 2006 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; BLACK HOLES; COSMOLOGY; EINSTEIN FIELD EQUATIONS; ELECTRIC CHARGES; ELECTRIC POTENTIAL; ELECTROMAGNETIC FIELDS; GEOMETRY; GRAVITATION; MASS; MATHEMATICAL SOLUTIONS; MAXWELL EQUATIONS; POTENTIALS; SINGULARITY; SPACE; TWODIMENSIONAL CALCULATIONS; VECTORS
Citation Formats
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, and Hendi, S H. TaubNUT/bolt black holes in GaussBonnetMaxwell gravity. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.084021.
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, & Hendi, S H. TaubNUT/bolt black holes in GaussBonnetMaxwell gravity. United States. doi:10.1103/PHYSREVD.73.084021.
Dehghani, M H, Research Institute for Astrophysics and Astronomy of Maragha, and Hendi, S H. Sat .
"TaubNUT/bolt black holes in GaussBonnetMaxwell gravity". United States. doi:10.1103/PHYSREVD.73.084021.
@article{osti_20782920,
title = {TaubNUT/bolt black holes in GaussBonnetMaxwell gravity},
author = {Dehghani, M H and Research Institute for Astrophysics and Astronomy of Maragha and Hendi, S H},
abstractNote = {We present a class of higherdimensional solutions to GaussBonnetMaxwell equations in 2k+2 dimensions with a U(1) fibration over a 2kdimensional base space B. These solutions depend on two extra parameters, other than the mass and the NewmanUntiTamburino charge, which are the electric charge q and the electric potential at infinity V. We find that the form of metric is sensitive to geometry of the base space, while the form of electromagnetic field is independent of B. We investigate the existence of TaubNewmanUntiTamburino/bolt solutions and find that in addition to the two conditions of uncharged NewmanUntiTamburino solutions, there exist two other conditions. These two extra conditions come from the regularity of vector potential at r=N and the fact that the horizon at r=N should be the outer horizon of the black hole. We find that for all nonextremal NewmanUntiTamburino solutions of Einstein gravity having no curvature singularity at r=N, there exist NewmanUntiTamburino solutions in GaussBonnetMaxwell gravity. Indeed, we have nonextreme NewmanUntiTamburino solutions in 2+2k dimensions only when the 2kdimensional base space is chosen to be CP{sup 2k}. We also find that the GaussBonnetMaxwell gravity has extremal NewmanUntiTamburino solutions whenever the base space is a product of 2torii with at most a 2dimensional factor space of positive curvature, even though there a curvature singularity exists at r=N. We also find that one can have bolt solutions in GaussBonnetMaxwell gravity with any base space. The only case for which one does not have black hole solutions is in the absence of a cosmological term with zero curvature base space.},
doi = {10.1103/PHYSREVD.73.084021},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 73,
place = {United States},
year = {2006},
month = {4}
}