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Proof that static stellar models are spherical

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Abstract

We give a proof that static general-relativistic stellar models, in other words static perfect fluid stars in asymptotically-flat spacetimes, are spherically symmetric for physically reasonable equations of state. The analysis may also be of independent interest for differential geometric rigidity theorems.

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Authors and Affiliations

  1. Mathematics Department, City College of San Francisco, EVE 162/C310, 50 Phelan Avenue, San Francisco, CA, 94112, USA

    A. K. M. Masood-ul-Alam

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  1. A. K. M. Masood-ul-Alam
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Correspondence to A. K. M. Masood-ul-Alam.

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Masood-ul-Alam, A.K.M. Proof that static stellar models are spherical. Gen Relativ Gravit 39, 55–85 (2007). https://doi.org/10.1007/s10714-006-0364-4

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  • DOI: https://doi.org/10.1007/s10714-006-0364-4

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