Strings in Homogeneous Background Spacetimes

Abstract

The string equations of motion for some homogeneous (Kantowski-Sachs, Bianchi I and Bianchi IX) background spacetimes are given, and solved explicitly in some simple cases. This is motivated by the recent developments in string cosmology, where it has been shown that, under certain circumstances, such spacetimes appear as string-vacua. Both tensile and null strings are considered. Generally, it is much simpler to solve for the null strings since then we deal with the null geodesic equations of General Relativity plus some additional constraints. We consider in detail an ansatz corresponding to circular strings, and we discuss the possibility of using an elliptic-shape string ansatz in the case of homogeneous (but anisotropic) backgrounds.

25 pages, REVTEX

References in corpus (7)

• Kantowski-Sachs String Cosmologies
• Spatially Homogeneous String Cosmologies
• String dynamics in cosmological and black hole backgrounds: The null string expansion
• Null Strings in Schwarzschild Spacetime
• Schild's Null Strings in Flat and Curved Backgrounds
• Tension as a Perturbative Parameter in Non--Linear String Equations in Curved Space--Time
• Time-Symmetrization and Isotropization of Stiff-Fluid Kantowski-Sachs Universes

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• New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory
• Optical equations for null strings
• Null Cosmic Strings: Scattering by Black Holes, Optics and Spacetime Content
• Null Strings and Membranes in Demianski-Newman Background
• Classical and quantum (2+1)-dimensional spatially homogeneous string cosmology
• Quasinormal modes of three $(2+1)$-dimensional black holes in string theory, conformal gravity, and Hu-Sawicki $F(R)$ theory via the Heun function
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons
• Effects of anisotropic dynamics on cosmic strings
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory