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  On the shape of bodies in General Relativistic regimes

Reiris, M. (2014). On the shape of bodies in General Relativistic regimes. General Relativity and Gravitation, 47: 1777. doi:10.1007/s10714-014-1777-0.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-75B9-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-75BA-B
Genre: Journal Article

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 Creators:
Reiris, Martin1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: The analysis of axisymmetric spacetimes, dynamical or stationary, is usually made in the reduced space. We prove here a stability property of the quo- tient space and use it together with minimal surface techniques to constraint the shape of General Relativistic bodies in terms of their energy and rotation. These constraints are different in nature to the mechanical limitations that a particular material body can have and which can forbid, for instance, rotation faster than a certain rate, (after which the body falls apart). The relations we are describing instead are fundamental and hold for all bodies, albeit they are useful only in General Relativistic regimes. For Neutron stars they are close to be optimal, and, although precise models for these stars display tighter con- straints, our results are significative in that they do not depend on the equation of state.

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 Dates: 2014-06-262014
 Publication Status: Published in print
 Pages: 20 pages, 3 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1406.6938
DOI: 10.1007/s10714-014-1777-0
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Title: General Relativity and Gravitation
Source Genre: Journal
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Pages: - Volume / Issue: 47 Sequence Number: 1777 Start / End Page: - Identifier: -