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DOE OSTI Β· 21509931

Static solutions for fourth order gravity

Nelson, William
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Abstract

The Lichnerowicz and Israel theorems are extended to higher order theories of gravity. In particular it is shown that Schwarzschild is the unique spherically symmetric, static, asymptotically flat, black-hole solution, provided the spatial curvature is less than the quantum gravity scale outside the horizon. It is then shown that in the presence of matter (satisfying certain positivity requirements), the only static and asymptotically flat solutions of general relativity that are also solutions of higher order gravity are the vacuum solutions.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSBLACK HOLESFIELD THEORIESGENERAL RELATIVITY THEORYGRAVITATIONMATHEMATICAL SOLUTIONSQUANTUM FIELD THEORYQUANTUM GRAVITYRELATIVITY THEORYSYMMETRY

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Nelson, William. 2010-11-15. Static solutions for fourth order gravity. https://doi.org/10.1103/physrevd.82.104026

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