Strings in Anisotropic Cosmological Spacetimes

Details Strings in Anisotropic Cosmological Spacetimes Strings in Anisotropic Cosmological Spacetimes

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998gregr..30.1075k&link_type=abstract

General Relativity and Gravitation, Volume 30, Issue 7, pp.1075-1097

Mathematics

Logic

Bosonic Strings, Two Spacelike Killing Vectors

Scientific paper

We present a general method to reduce the full set of equations of motion and constraints in the conformal gauge for the bosonic string moving in a four-dimensional curved spacetime manifold with two spacelike Killing vector fields, to a set of six coupled first-order partial differential equations in six unknown functions. By an explicit transformation the constraints are solved identically and one ends up with only the equations of motion and integrability conditions. We apply the method to the family of inhomogeneous, non-singular cosmological models of Senovilla possessing two spacelike Killing vector fields, and show how one can extract classes of special exact solutions, even for this highly complicated metric. For the case of the same family of exact cosmological spacetimes, we give an explicit example, not previously encountered, where we have a direct and mutual transfer of energy between the string and the gravitational field.

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