String excitation inside generic black holes
Abstract
We calculate how much a firstquantized string is excited after crossing the inner horizon of charged Vaidya solutions, as a simple model of generic black holes. To quantize a string suitably, we first show that the metric is approximated by a planewave metric near the inner horizon when the surface gravity of the horizon κ_{I} is small enough. Next, it is analytically shown that the string crossing the inner horizon is excited infinitely in an asymptotically flat spacetime, while it is finite in an asymptotically de Sitter spacetime and the string can pass across the inner horizon when κ_{I}<2κ≔2min\{κ_{B},κ_{C}\}, where κ_{B}(κ_{C}) is the surface gravity of the black hole (cosmological) event horizon. This implies that strong cosmic censorship holds in an asymptotically flat spacetime, while it is violated in an asymptotically de Sitter spacetime from the point of view of string theory.
 Publication:

Physical Review D
 Pub Date:
 December 1999
 DOI:
 10.1103/PhysRevD.61.024020
 arXiv:
 arXiv:grqc/9908007
 Bibcode:
 1999PhRvD..61b4020M
 Keywords:

 04.70.s;
 04.20.Dw;
 04.50.+h;
 Physics of black holes;
 Singularities and cosmic censorship;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 8 pages, REVtex, 4 figures, Submitted to PRD