Exact Collapse Solutions in D=4, N=4 Gauged Supergravity and Their Generalizations

H. Lu; Xuefeng Zhang

doi:10.1007/JHEP07(2014)099

paper

Exact Collapse Solutions in D=4, N=4 Gauged Supergravity and Their Generalizations

arXiv:1404.7603 · doi:10.1007/JHEP07(2014)099

Abstract

We construct an exact time-dependent solution in $D = 4$ , $N = 4$ gauged supergravity, where the gauge fields of the $U (1) \times U (1)$ subgroup of the $S O (4)$ carry independent conserved charges. The solution describes a decaying white hole that settles down to the final state as a static charged black hole. We analyze the global structure and lift the solution back to $D = 11$ supergravity. We further extend the theory by adding an extra term in the scalar potential and obtain a more general class of collapse solutions. The result constitutes a charged generalization of the Roberts solution and the dynamical scalar-hairy black hole solutions that have been very recently found by us. The generalized Roberts solutions demonstrate that a scalar coupled to gravity can be unstable even when it is confined by a scalar potential with a fixed point.

arXiv comment15 pages

Exact Collapse Solutions in D=4, N=4 Gauged Supergravity and Their Generalizations

Abstract

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