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A five-dimensional Schwarzschild-like solution

R. Steven Millward
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Abstract

In recent years, interest in extra dimensions has experienced a dramatic increase. A common practice has been to look for higher-dimensional generalizations of four-dimensional solutions to the Einstein equations. In this vein, we have found a static, spherically symmetric solution to the 5-d Einstein equations. Certain aspects of this solution are very different from the 4-d Schwarzschild solution. However, in observationally accessible regions, the geodesics of the two solutions are essentially the same.

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R. Steven Millward. 2006-03-31. A five-dimensional Schwarzschild-like solution. https://arxiv.org/abs/gr-qc/0603132

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