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A general integral of the Jordan-Brans-Dicke field equations for static spherically symmetric perfect fluid distributions

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Abstract

The Jordan-Brans-Dicke field equations [1] contain the four-dimensional field equations of the five-dimensional projective unified theory. As it should be, Einstein's theory is incorporated as a limiting case. In this paper we present a method to determine explicitly for every static spherically symmetric solution of Einstein's theory with perfect fluid an analogous solution of Jordan-Brans-Dicke theory. As a particular example a “generalized interior Schwarzschild solution” is given.

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Herlt, E. A general integral of the Jordan-Brans-Dicke field equations for static spherically symmetric perfect fluid distributions. Gen Relat Gravit 15, 1131–1138 (1983). https://doi.org/10.1007/BF00761579

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  • DOI: https://doi.org/10.1007/BF00761579

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