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Prog. Theor. Phys. Vol. 125 No. 4 (2011) pp. 687-708

Gravitational String-Membrane Hedgehog and Internal Structure of Black Holes

Hikaru Kawai^1,2,* and Toshihiro Matsuo^3,**

¹Department of Physics, Kyoto University, Kyoto 606-8502, Japan
²Theoretical Physics Laboratory, Nishina Center, RIKEN, Wako 351-0198, Japan
³Okayama Institute for Quantum Physics, Okayama 700-0015, Japan

(Received January 7, 2011)

Abstract:

We investigate charged Nambu-Goto strings/membrane systems in the Einstein-Maxwell theory in 3 + 1 dimensions. We first construct a charged string hedgehog solution that has a single horizon and conical singularity. Then we examine a charged membrane system, and give a simple derivation of its self-energy. We find that the membrane may form an extremal Reissner-Nordström black hole, but its interior is a flat spacetime. Finally by combining the charged strings and the membrane we construct black hole solutions that have no singularities inside the horizons. We study them in detail by varying the magnitude of the two parameters, namely, the charge times the membrane tension and the string tension. We also argue that the strings have, due to the large redshift inside the system, a fair amount of degrees of freedom that may explain the entropy of the corresponding black holes.

Subject Index : 122, 451
URL : http://ptp.ipap.jp/link?PTP/125/687/
DOI : 10.1143/PTP.125.687

^*E-mail: hkawai@gauge.scphys.kyoto-u.ac.jp
^**E-mail: tmatsuo@yukawa.kyoto-u.ac.jp

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