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The structure and uniqueness of generalized solutions of the spherically symmetric Einstein-scalar equations

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Abstract

In a previous paper we proved the global existence of generalized solutions of the spherically symmetric Einstein-scalar field equations in the large. In this paper we study the regularity properties of the spacetime and the scalar field corresponding to a generalized solution. We also prove a uniqueness theorem which shows that a generalized solution is an extension of a classical solution.

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Authors and Affiliations

  1. Departments of Mathematics and Physics, Syracuse University, 13210, Syracuse, NY, USA

    Demetrios Christodoulou

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  1. Demetrios Christodoulou
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Communicated by S.-T. Yau

Research supported in part by National Science Foundation grants MCS-8201599 to the Courant Institute and PHY-8318350 to Syracuse University

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Christodoulou, D. The structure and uniqueness of generalized solutions of the spherically symmetric Einstein-scalar equations. Commun.Math. Phys. 109, 591–611 (1987). https://doi.org/10.1007/BF01208959

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  • DOI: https://doi.org/10.1007/BF01208959

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