Attempts at vacuum counterexamples to cosmic censorship in AdS

被引:12
作者
Crisford, Toby [1 ]
Horowitz, Gary T. [2 ]
Santos, Jorge E. [1 ]
机构
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England
[2] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
关键词
Spacetime Singularities; Black Holes; Gauge-gravity correspondence; POSITIVE MASS THEOREMS; SPACE;
D O I
10.1007/JHEP02(2019)092
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider vacuum solutions of four dimensional general relativity with < 0. We numerically construct stationary solutions that asymptotically approach a boundary metric with differential rotation. Smooth solutions only exist up to a critical rotation. We thus argue that increasing the differential rotation by a finite amount will cause the curvature to grow without bound. This holds for both zero and nonzero temperature, and both compact and noncompact boundaries. However, the boundary metric always develops an ergoregion before reaching the critical rotation, which probably means that the energy is unbounded from below for these counterexamples to cosmic censorship.
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页数:36
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共 38 条
[1]   Large N field theories, string theory and gravity [J].
Aharony, O ;
Gubser, SS ;
Maldacena, J ;
Ooguri, H ;
Oz, Y .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386
[2]  
[Anonymous], 2015, J HIGH ENERGY PHYS, DOI DOI 10.1007/JHEP01(2015)035
[3]  
[Anonymous], ARXIV180109711
[4]   The string landscape, black holes and gravity as the weakest force [J].
Arkani-Hamed, Nima ;
Motl, Lubos ;
Nicolis, Alberto ;
Vafa, Cumrun .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (06)
[5]  
ASHTEKAR A, 1975, CR ACAD SCI A MATH, V281, P875
[6]   Local fluid dynamical entropy from gravity [J].
Bhattacharyya, Sayantani ;
Hubeny, Veronika E. ;
Loganayagam, R. ;
Mandal, Gautam ;
Minwalla, Shiraz ;
Morita, Takeshi ;
Rangamani, Mukund ;
Reall, Harvey S. .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (06)
[7]   Nonlinear fluid dynamics from gravity [J].
Bhattacharyya, Sayantani ;
Minwalla, Shiraz ;
Hubeny, Veronika E. ;
Rangamani, Mukund .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (02)
[8]   Large N phases, gravitational instantons, and the nuts and bolts of AdS holography -: art. no. 064010 [J].
Chamblin, A ;
Emparan, R ;
Johnson, CV ;
Myers, RC .
PHYSICAL REVIEW D, 1999, 59 (06)
[9]  
Cheng MCN, 2005, J HIGH ENERGY PHYS
[10]   On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds [J].
Chrusciel, Piotr T. ;
Galloway, Gregory J. ;
Luc Nguyen ;
Paetz, Tim-Torben .
CLASSICAL AND QUANTUM GRAVITY, 2018, 35 (11)