Non static cosmic strings in Lyra geometry

Details Non static cosmic strings in Lyra geometry Non static cosmic strings in Lyra geometry

2007-04-24

arxiv.org/abs/0704.3140v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Published in Nuovo Cim.118B:99-105,2003

Scientific paper

The gravitational field of both local and global non static cosmic strings in the context of Lyra geometry are investigated. Local strings are characterized by having an energy momentum tensor whose only non null components are $T_{tt} = T_{zz}$ . As linearized Einstein equations are formally analogous to the Maxwell equations, the exterior solution does not depend on the radial distribution of the source and hence a Dirac d function was used to approximate the radial distribution of the energy momentum tensor for a local cosmic string along the z-axis: $T_{ab} = \delta(x) \delta(y)diag (\sigma, 0, 0, \sigma) $, $\sigma $being the energy density of the string [A.Vilenkin. Phys.Rep.(1985)121,263]. For a global string, the energy momentum tensor components are calculated from the action density for a complex scalar field y along with a Maxican hat potential. The gravitational field of the global string is shown to be attractive in nature.

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