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Title: Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity

Abstract

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.

Authors:
; ;  [1]
  1. GCAP-CASPER, Physics Department, Baylor University, One Bear Place 97316, Waco, Texas, 76798-7316 (United States)
Publication Date:
OSTI Identifier:
22275470
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2010; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANISOTROPY; ASTROPHYSICS; BLACK HOLES; COSMOLOGY; GRAVITATION; HEAT FLUX; IDEAL FLOW; LIMITING VALUES; MATHEMATICAL SOLUTIONS; RELATIVISTIC RANGE; SCHWARZSCHILD METRIC; SOLAR SYSTEM; SPACE-TIME; SPHERICAL CONFIGURATION; STARS; U-1 GROUPS

Citation Formats

Greenwald, Jared, Satheeshkumar, V. H., and Wang, Anzhong. Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity. United States: N. p., 2010. Web. doi:10.1088/1475-7516/2010/12/007.
Greenwald, Jared, Satheeshkumar, V. H., & Wang, Anzhong. Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity. United States. https://doi.org/10.1088/1475-7516/2010/12/007
Greenwald, Jared, Satheeshkumar, V. H., and Wang, Anzhong. Wed . "Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity". United States. https://doi.org/10.1088/1475-7516/2010/12/007.
@article{osti_22275470,
title = {Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity},
author = {Greenwald, Jared and Satheeshkumar, V. H. and Wang, Anzhong},
abstractNote = {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.},
doi = {10.1088/1475-7516/2010/12/007},
url = {https://www.osti.gov/biblio/22275470}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 12,
volume = 2010,
place = {United States},
year = {2010},
month = {12}
}