A five-dimensional Schwarzschild-like solution

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.