Vacuum state and Schwarzschild solution in ten-dimensional gravity

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Field Theories In Dimensions Other Than Four

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Gravity in more than four dimensions may involve terms of higher order in the curvature, as well as the linear terms present in ordinary general relativity. I explore the ten-dimensional vacuum configuration M4×S6. The ten-dimensional spherically symmetric potential is examined, and I determine conditions under which the formation of black holes is forbidden. Consequences for the stability of the vacuum are discussed.

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