Abstract
We construct an exact time-dependent solution in D = 4, \( \mathcal{N} \) = 4 gauged supergravity, where the gauge fields of the U(1) × U(1) subgroup of the SO(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.
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References
P.S. Joshi, Gravitational Collapse and Spacetime Singularities, Cambridge University Press, (2007).
P.S. Joshi and D. Malafarina, Recent developments in gravitational collapse and spacetime singularities, Int. J. Mod. Phys. D 20 (2011) 2641 [arXiv:1201.3660] [INSPIRE].
C. Gundlach and J.M. Martin-Garcia, Critical phenomena in gravitational collapse, Living Rev. Rel. 10 (2007) 5 [arXiv:0711.4620] [INSPIRE].
C.L. Fryer and K.C.B. New, Gravitational waves from gravitational collapse, Liv. Rev. Rel. 14 (2011) 1.
P.C. Vaidya, The Gravitational field of a radiating star, Proc. Indian Acad. Sci. A 33 (1951) 264.
V. Husain, Exact solutions for null fluid collapse, Phys. Rev. D 53 (1996) 1759 [gr-qc/9511011] [INSPIRE].
A. Wang, Generalized Vaidya solutions, Gen. Rel. Grav. 31 (1999) 107 [gr-qc/9803038] [INSPIRE].
M.D. Roberts, Scalar Field Counterexamples to the Cosmic Censorship Hypothesis, Gen. Rel. Grav. 21 (1989) 907 [INSPIRE].
R. Güven and E. Yoruk, Stringy Robinson-Trautman solutions, Phys. Rev. D 54 (1996) 6413 [hep-th/9609078] [INSPIRE].
X. Zhang and H. Lü, Exact Black Hole Formation in Asymptotically (A)dS and Flat Spacetimes, arXiv:1403.6874 [INSPIRE].
S.J. Gates Jr. and B. Zwiebach, Gauged N = 4 Supergravity Theory With a New Scalar Potential, Phys. Lett. B 123 (1983) 200 [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Four-dimensional N = 4, SO(4) gauged supergravity from D = 11, Nucl. Phys. B 574(2000) 761[hep-th/9910252] [INSPIRE].
M.J. Duff and J.T. Liu, Anti-de Sitter black holes in gauged N = 8 supergravity, Nucl. Phys. B 554 (1999) 237 [hep-th/9901149] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
K.G. Zloshchastiev, On co-existence of black holes and scalar field, Phys. Rev. Lett. 94 (2005) 121101 [hep-th/0408163] [INSPIRE].
A. Anabalon, Exact Hairy Black Holes, arXiv:1211.2765 [INSPIRE].
P.A. González, E. Papantonopoulos, J. Saavedra and Y. Vásquez, Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair, JHEP 12 (2013) 021 [arXiv:1309.2161] [INSPIRE].
A. Anabalón and D. Astefanesei, On attractor mechanism of AdS 4 black holes, Phys. Lett. B 727 (2013) 568 [arXiv:1309.5863] [INSPIRE].
X.-H. Feng, H. Lü and Q. Wen, Scalar Hairy Black Holes in General Dimensions, Phys. Rev. D 89 (2014) 044014 [arXiv:1312.5374] [INSPIRE].
H. Lü, Y. Pang and C.N. Pope, An ω deformation of gauged STU supergravity, JHEP 04 (2014) 175 [arXiv:1402.1994] [INSPIRE].
H. Lü, Y. Pang and C.N. Pope, AdS Dyonic Black Hole and its Thermodynamics, JHEP 11 (2013) 033 [arXiv:1307.6243] [INSPIRE].
D.D.K. Chow and G. Compère, Dyonic AdS black holes in maximal gauged supergravity, Phys. Rev. D 89 (2014) 065003 [arXiv:1311.1204] [INSPIRE].
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Lü, H., Zhang, X. Exact collapse solutions in D = 4, \( \mathcal{N} \) = 4 gauged supergravity and their generalizations. J. High Energ. Phys. 2014, 99 (2014). https://doi.org/10.1007/JHEP07(2014)099
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DOI: https://doi.org/10.1007/JHEP07(2014)099