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Cai, Rong-Gen; Wang, Anzhong; Wang, AZ , Baylor Univ, Dept Phys, GCAP CASPER, Waco, TX 76798 USA
Singularities in Horava-Lifshitz theory
Source PublicationPHYSICS LETTERS B
KeywordLorentz Invariance Black-holes 2+1 Gravity Violation Collapse Energy
AbstractSingularities 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
2010
ISSN0370-2693
Volume686Issue:40942Pages:166-174
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNNSFC[10535060, 10821504, 10975168, 10703005, 10775119] ; NNSFC[10535060, 10821504, 10975168, 10703005, 10775119] ; NNSFC[10535060, 10821504, 10975168, 10703005, 10775119] ; NNSFC[10535060, 10821504, 10975168, 10703005, 10775119]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5143
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWang, AZ , Baylor Univ, Dept Phys, GCAP CASPER, Waco, TX 76798 USA
Recommended Citation
GB/T 7714
Cai, Rong-Gen,Wang, Anzhong,Wang, AZ , Baylor Univ, Dept Phys, GCAP CASPER, Waco, TX 76798 USA. Singularities in Horava-Lifshitz theory[J]. PHYSICS LETTERS B,2010,686(40942):166-174.
APA Cai, Rong-Gen,Wang, Anzhong,&Wang, AZ , Baylor Univ, Dept Phys, GCAP CASPER, Waco, TX 76798 USA.(2010).Singularities in Horava-Lifshitz theory.PHYSICS LETTERS B,686(40942),166-174.
MLA Cai, Rong-Gen,et al."Singularities in Horava-Lifshitz theory".PHYSICS LETTERS B 686.40942(2010):166-174.
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