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Prog. Theor. Phys. Vol. 124 No. 2 (2010) pp. 207-225

[ Full Text PDF : FREE ACCESS (348K) ]

Global Structure of Black Holes in String Theory with Gauss-Bonnet Correction in Various Dimensions

Nobuyoshi Ohta1,* and Takashi Torii2,**

1Department of Physics, Kinki University, Higashi-Osaka 577-8502, Japan
2Department of General Education, Osaka Institute of Technology, Osaka 535-8585, Japan

(Received April 19, 2010)

Abstract:

We study global structures of black hole solutions in Einstein gravity with Gauss-Bonnet term coupled to dilaton in various dimensions. In particular we focus on the problem whether the singularity is weakened due to the Gauss-Bonnet term and dilaton. We find that there appears the non-central singularity between horizon and the center in many cases, where the metric does not diverge but the Kretschmann invariant does diverge. Hence this is a singularity, but we find the singularity is much milder than the Schwarzschild solution and the non-dilatonic one. We discuss the origin of this “fat” singularity. In other cases, we encounter singularity at the center which is much stronger than the usual one. We find that our black hole solutions have three different types of the global structures; the Schwarzschild, Schwarzschild-AdS and “regular AdS black hole" types.

Subject Index : 122, 453
URL : http://ptp.ipap.jp/link?PTP/124/207/
DOI : 10.1143/PTP.124.207


*E-mail: ohtan at phys.kindai.ac.jp
**E-mail: torii at ge.oit.ac.jp

[ Full Text PDF : FREE ACCESS (348K) ] Citation:

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