Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-19
JCAP 1012:007,2010
Physics
High Energy Physics
High Energy Physics - Theory
Singular behavior of the fluid at the center is clarified. New references are added. Version to appear in JCAP
Scientific paper
10.1088/1475-7516/2010/12/007
We study spherically symmetric static spacetimes generally filled with an anisotropic fluid in the nonrelativistic general covariant theory of gravity. In particular, we find that the vacuum solutions are not unique, and can be expressed in terms of the $U(1)$ gauge field $A$. When solar system tests are considered, severe constraints on $A$ are obtained, which seemingly pick up the Schwarzschild solution uniquely. In contrast to other versions of the Horava-Lifshitz theory, non-singular static stars made of a perfect fluid without heat flow can be constructed, due to the coupling of the fluid with the gauge field. These include the solutions with a constant pressure. We also study the general junction conditions across the surface of a star. In general, the conditions allow the existence of a thin matter shell on the surface. When applying these conditions to the perfect fluid solutions with the vacuum ones as describing their external spacetimes, we find explicitly the matching conditions in terms of the parameters appearing in the solutions. Such matching is possible even without the presence of a thin matter shell.
Greenwald Jared
Satheeshkumar V. H.
Wang Anzhong
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