Cosmology in nonrelativistic general covariant theory of gravity

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.044031· OSTI ID:21504994

Anzhong, Wang; Yumei, Wu ^[1]

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1. GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316 (United States)

Horava and Melby-Thompson recently proposed a new version of the Horava-Lifshitz theory of gravity, in which the spin-0 graviton is eliminated by introducing a Newtonian prepotential {phi} and a local U(1) gauge field A. In this paper, we first derive the corresponding Hamiltonian, supermomentum constraints, the dynamical equations, and the equations for {phi} and A, in the presence of matter fields. Then, we apply the theory to cosmology and obtain the modified Friedmann equation and the conservation law of energy, in addition to the equations for {phi} and A. When the spatial curvature is different from zero, terms behaving like dark radiation and stiff-fluid exist, from which, among other possibilities, a bouncing universe can be constructed. We also study linear perturbations of the Friedmann-Robertson-Walker universe with any given spatial curvature k, and we derive the most general formulas for scalar perturbations. The vector and tensor perturbations are the same as those recently given by one of the present authors [A. Wang, Phys. Rev. D 82, 124063 (2010).] in the setup of Sotiriou, Visser, and Weinfurtner. Applying these formulas to the Minkowski background, we have shown explicitly that the scalar and vector perturbations of the metric indeed vanish, and the only remaining modes are the massless spin-2 gravitons.

• OSTI ID: 21504994
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.044031; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGY
DISTURBANCES
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GAUGE INVARIANCE
GRAVITATION
GRAVITONS
HAMILTONIANS
METRICS
MINKOWSKI SPACE
PERTURBATION THEORY
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VECTORS
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
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INVARIANCE PRINCIPLES
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PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM OPERATORS
RADIATIONS
SPACE
SYMMETRY GROUPS
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