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  Maximal mass of uniformly rotating homogeneous stars in Einsteinian gravity

Schöbel, K., & Ansorg, M. (2003). Maximal mass of uniformly rotating homogeneous stars in Einsteinian gravity. Astronomy & Astrophysics, 405(2), 405-408. doi:10.1051/0004-6361:20030634.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5239-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-523A-F
Genre: Journal Article

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405-408.pdf (Publisher version), 142KB
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 Creators:
Schöbel, K.1, Author
Ansorg, Marcus2, Author
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1External Organizations, ou_persistent13              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: Using a multi domain spectral method, we investigate systematically the general-relativistic model for axisymmetric uniformly rotating, homogeneous fluid bodies generalizing the analytically known Maclaurin and Schwarzschild solutions. Apart from the curves associated with these solutions and a further curve of configurations that rotate at the mass shedding limit, two more curves are found to border the corresponding two parameter set of solutions. One of them is a Newtonian lens shaped sequence bifurcating from the Maclaurin spheroid sequence, while the other one corresponds to highly relativistic bodies with an infinite central pressure. The properties of the configuration for which both the gravitational and the baryonic masses, moreover angular velocity, angular momentum as well as polar red shift obtain their maximal values are discussed in detail. In particular, by comparison with the static Schwarzschild solution, we obtain an increase of 34.25% in the gravitational mass. Moreover, we provide exemplarily a discussion of angular velocity and gravitational mass on the entire solution class.

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 Dates: 2003-04
 Publication Status: Published in print
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 Identifiers: eDoc: 367529
DOI: 10.1051/0004-6361:20030634
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Title: Astronomy & Astrophysics
  Alternative Title : Astron. Astrophys.
Source Genre: Journal
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Pages: - Volume / Issue: 405 (2) Sequence Number: - Start / End Page: 405 - 408 Identifier: -