Detailed balance in Horava-Lifshitz gravity

被引:97
作者
Calcagni, Gianluca [1 ]
机构
[1] Penn State Univ, Dept Phys, Inst Gravitat & Cosmos, University Pk, PA 16802 USA
关键词
FRACTIONAL GENERALIZATION; BLACK-HOLES; THERMODYNAMICS;
D O I
10.1103/PhysRevD.81.044006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study Horava-Lifshitz gravity in the presence of a scalar field. When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability. The four-dimensional theory is of a scalar-tensor type with a positive cosmological constant and gravity is nonminimally coupled with the scalar and its gradient terms. The scalar field has a double-well potential and, if required to play the role of the inflation, can produce a scale-invariant spectrum. The total action is rather complicated, and there is no analog of the Einstein frame where Lorentz invariance is recovered in the infrared. For these reasons it may be necessary to abandon detailed balance. We comment on open problems and future directions in anisotropic critical models of gravity.
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页数:11
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共 89 条
[1]  
[Anonymous], ARXIV09052678
[2]  
[Anonymous], 1991, PSEUDODIFFERENTIAL O
[3]   Lorentz-invariant pseudo-differential wave equations [J].
Barci, DG ;
Bollini, CG ;
Oxman, LE ;
Rocca, MC .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (12) :3015-3030
[4]   Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent [J].
Bertoldi, Gaetano ;
Burrington, Benjamin A. ;
Peet, Amanda .
PHYSICAL REVIEW D, 2009, 80 (12)
[5]   ARBITRARY POWERS OF DALEMBERTIANS AND THE HUYGENS PRINCIPLE [J].
BOLLINI, CG ;
GIAMBIAGI, JJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (02) :610-621
[6]   Matter bounce in Horcava-Lifshitz cosmology [J].
Brandenberger, Robert .
PHYSICAL REVIEW D, 2009, 80 (04)
[7]   A GEOMETRIC INTERPRETATION OF THE RIEMANN-STIELTJES INTEGRAL [J].
BULLOCK, GL .
AMERICAN MATHEMATICAL MONTHLY, 1988, 95 (05) :448-455
[8]   Topological black holes in Horcava-Lifshitz gravity [J].
Cai, Rong-Gen ;
Cao, Li-Ming ;
Ohta, Nobuyoshi .
PHYSICAL REVIEW D, 2009, 80 (02)
[9]   Thermodynamics of black holes in Horava-Lifshitz gravity [J].
Cai, Rong-Gen ;
Cao, Li-Ming ;
Ohta, Nobuyoshi .
PHYSICS LETTERS B, 2009, 679 (05) :504-509
[10]   Dynamical scalar degree of freedom in Horcava-Lifshitz gravity [J].
Cai, Rong-Gen ;
Hu, Bin ;
Zhang, Hong-Bo .
PHYSICAL REVIEW D, 2009, 80 (04)