Axisymmetric Gravitational Solutions as Possible Classical Backgrounds around Closed String Mass Distributions

Abstract

By studying singularities in stationary axisymmetric Kerr and Tomimatsu-Sato solutions with distortion parameter \d = 2, 3, ... in general relativity, we conclude that these singularities can be regarded as nothing other than closed string-like circular mass distributions. We use two different regularizations to identify \d-function type singularities in the energy-momentum tensor for these solutions, realizing a regulator independent result. This result gives supporting evidence that these axisymmetric exact solutions may well be the classical solutions around closed string-like mass distributions, just like Schwarzschild solution corresponding to a point mass distribution. In other words, these axisymmetric exact solutions may well provide the classical backgrounds around closed strings.

14 pages, no figures, some technical details skipped, shortened for about one page

References in corpus (3)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Structure of Spinning Particle Suggested by Gravity, Supergravity and Low Energy String Theory

Cited by in corpus (2)

• Lightlike limit of the boosted Kerr black holes in higher-dimensional spacetimes
• Gravitational fields as generalized string models