Exact black hole formation in asymptotically (A)dS and flat spacetimes

We consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a static scalar-hairy black hole. The solution can be asympto...

Full description

Bibliographic Details
Main Authors: Xuefeng Zhang, H. Lü
Format: Article
Language:English
Published: Elsevier 2014-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269314005541
_version_ 1818538504989179904
author Xuefeng Zhang
H. Lü
author_facet Xuefeng Zhang
H. Lü
author_sort Xuefeng Zhang
collection DOAJ
description We consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a static scalar-hairy black hole. The solution can be asymptotically AdS, flat or dS depending on the value of the cosmological constant parameter Λ in the potential. As the advanced time u increases, the metric approaches the static limit in an exponential fashion, i.e., e−u/u0 with u0∼1/(α4M0)1/3, where M0 is the mass of the final black hole and α is the second parameter in the potential. Similarly to the Vaidya solution, at u=0, the spacetime can be matched to an (A)dS or flat vacuum except that at the origin a naked singularity may occur. Moreover, a limiting case of our solution with α=0 gives rise to an (A)dS generalization of the Roberts solution. Our results provide a new model for investigating formation of real life black holes with Λ≥0. For Λ<0, it can be instead used to study non-equilibrium thermalization of certain strongly-coupled field theory.
first_indexed 2024-12-11T21:29:48Z
format Article
id doaj.art-c7fd43664a084f3cab452d63b47beea6
institution Directory Open Access Journal
issn 0370-2693
1873-2445
language English
last_indexed 2024-12-11T21:29:48Z
publishDate 2014-09-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-c7fd43664a084f3cab452d63b47beea62022-12-22T00:50:13ZengElsevierPhysics Letters B0370-26931873-24452014-09-01736C45545810.1016/j.physletb.2014.07.052Exact black hole formation in asymptotically (A)dS and flat spacetimesXuefeng Zhang0H. Lü1Department of Physics, Beijing Normal University, Beijing 100875, ChinaDepartment of Physics, Beijing Normal University, Beijing 100875, ChinaWe consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a static scalar-hairy black hole. The solution can be asymptotically AdS, flat or dS depending on the value of the cosmological constant parameter Λ in the potential. As the advanced time u increases, the metric approaches the static limit in an exponential fashion, i.e., e−u/u0 with u0∼1/(α4M0)1/3, where M0 is the mass of the final black hole and α is the second parameter in the potential. Similarly to the Vaidya solution, at u=0, the spacetime can be matched to an (A)dS or flat vacuum except that at the origin a naked singularity may occur. Moreover, a limiting case of our solution with α=0 gives rise to an (A)dS generalization of the Roberts solution. Our results provide a new model for investigating formation of real life black holes with Λ≥0. For Λ<0, it can be instead used to study non-equilibrium thermalization of certain strongly-coupled field theory.http://www.sciencedirect.com/science/article/pii/S0370269314005541
spellingShingle Xuefeng Zhang
H. Lü
Exact black hole formation in asymptotically (A)dS and flat spacetimes
Physics Letters B
title Exact black hole formation in asymptotically (A)dS and flat spacetimes
title_full Exact black hole formation in asymptotically (A)dS and flat spacetimes
title_fullStr Exact black hole formation in asymptotically (A)dS and flat spacetimes
title_full_unstemmed Exact black hole formation in asymptotically (A)dS and flat spacetimes
title_short Exact black hole formation in asymptotically (A)dS and flat spacetimes
title_sort exact black hole formation in asymptotically a ds and flat spacetimes
url http://www.sciencedirect.com/science/article/pii/S0370269314005541
work_keys_str_mv AT xuefengzhang exactblackholeformationinasymptoticallyadsandflatspacetimes
AT hlu exactblackholeformationinasymptoticallyadsandflatspacetimes