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题名: Singularities in Horava-Lifshitz theory
作者: 蔡荣根 ;  Wang, Anzhong
刊名: PHYSICS LETTERS B
出版日期: 2010
卷号: 686, 期号:40942, 页码:166-174
关键词: LORENTZ INVARIANCE ;  BLACK-HOLES ;  2+1 GRAVITY ;  VIOLATION ;  COLLAPSE ;  ENERGY
学科分类: Physics
通讯作者: Wang, AZ , Baylor Univ, Dept Phys, GCAP CASPER, Waco, TX 76798 USA
部门归属: [Wang, AZ] Baylor Univ, Dept Phys, GCAP CASPER, Waco, TX 76798 USA; [Cai, RG] Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: Singularities in (3 + 1)-dimensional Horava-Lifshitz (HL) theory of gravity are studied These singularities can be divided into scalar, non-scalar curvature, and coordinate singularities Because of the foliation-preserving diffeomorphisms of the theory, the number of scalars that can be constructed from the extrinsic curvature tensor K(ij), the 3-dimensional Riemann tensor and their derivatives is much large than that constructed from the 4-dimensional Riemann tensor and its derivatives in general relativity (GR) As a result, even for the same spacetime, it may be singular in the HL theory but not in GR Two representative families of solutions with projectability condition are studied, one is the (anti-)de Sitter Schwarzschild solutions, and the other is the Lu-Mei-Pope (LMP) solutions written in a form satisfying the projectability condition - the generalized LMP solutions The (anti-)de Sitter Schwarzschild solutions are vacuum solutions of both HL theory and GR, while the LMP solutions with projectability condition satisfy the HL equations coupled with an anisotropic fluid with heat flow It is found that the scalars K and K(ij) K(ij) are singular only at the center for the de Sitter Schwarzschild solution, but singular at both the center and r = (3M/vertical bar Lambda vertical bar)(1/3) for the anti-de Sitter Schwarzschild solution The singularity at r = (3M/vertical bar Lambda vertical bar)(1/3) is absent in GR In addition, all the generalized LMP solutions have two scalar curvature singularities, located at either r = 0 and r = r(s) > 0, or r = r(1) and r = r(2) with r(2) > r(1) > 0, or r = r(s) > 0 and r = infinity, depending on the choice of the free parameter lambda (C) 2010 Elsevier B V. All rights reserved
资助者: NNSFC[10535060, 10821504, 10975168, 10703005, 10775119]
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000276377500015
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5143
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Cai, Rong-Gen,Wang, Anzhong. Singularities in Horava-Lifshitz theory[J]. PHYSICS LETTERS B,2010,686(40942):166-174.
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