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...
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Format: | Article |
Language: | English |
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Elsevier
2014-09-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269314005541 |
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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 |