Singularities in geodesic surface congruence

Details Singularities in geodesic surface congruence Singularities in geodesic surface congruence

2008-06-12

arxiv.org/abs/0806.2061v1

Phys.Rev.D78:067301,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

10.1103/PhysRevD.78.067301

In the stringy cosmology, we investigate singularities in geodesic surface congruences for the time-like and null strings to yield the Raychaudhuri type equations possessing correction terms associated with the novel features owing to the strings. Assuming the stringy strong energy condition, we have a Hawking-Penrose type inequality equation. If the initial expansion is negative so that the congruence is converging, we show that the expansion must pass through the singularity within a proper time. We observe that the stringy strong energy conditions of both the time-like and null string congruences produce the same inequality equation.

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