Black holes and stars in the Horava-Lifshitz theory with the projectability condition

Journal Article · Thu Apr 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.084046· OSTI ID:21409618

Greenwald, Jared; Anzhong, Wang ^[1]; Papazoglou, Antonios ^[2]

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1. GCAP-CASPER, Physics Department, Baylor University, Waco, Texas 76798-7316 (United States)
2. Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 3FX (United Kingdom)

We systematically study spherically symmetric static spacetimes filled with a fluid in the Horava-Lifshitz theory of gravity with the projectability condition, but without the detailed balance. We establish that when the spacetime is spatially Ricci flat the unique vacuum solution is the de Sitter Schwarzshcild solution, while when the spacetime has a nonzero constant curvature, there exist two different vacuum solutions; one is an (Einstein) static universe, and the other is a new spacetime. This latter spacetime is maximally symmetric and not flat. We find all the perfect fluid solutions for such spacetimes, in addition to a class of anisotropic fluid solutions of the spatially Ricci flat spacetimes. To construct spacetimes that represent stars, we investigate junction conditions across the surfaces of stars and obtain the general matching conditions with or without the presence of infinitely thin shells. It is remarkable that, in contrast to general relativity, the radial pressure of a star does not necessarily vanish on its surface even without the presence of a thin shell, due to the presence of high order derivative terms. Applying the junction conditions to our explicit solutions, we show that it is possible to match smoothly these solutions (all with nonzero radial pressures) to vacuum spacetimes without the presence of thin matter shells on the surfaces of stars.

• OSTI ID: 21409618
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 8; Other Information: DOI: 10.1103/PhysRevD.81.084046; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
BALANCES
BLACK HOLES
DE SITTER SPACE
GENERAL RELATIVITY THEORY
GRAVITATION
IDEAL FLOW
MATHEMATICAL SOLUTIONS
SCHWARZSCHILD METRIC
SIMULATION
SPACE-TIME
STARS
SURFACES
SYMMETRY
UNIVERSE
FIELD THEORIES
FLUID FLOW
INCOMPRESSIBLE FLOW
MATHEMATICAL SPACE
MEASURING INSTRUMENTS
METRICS
RELATIVITY THEORY
SPACE
STEADY FLOW
WEIGHT INDICATORS