Singularities in geodesic surface congruence
arXiv:0806.2061 · doi:10.1103/PhysRevD.78.067301
Abstract
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.
4 pages
References in corpus (7)
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- de Sitter Vacua in String Theory
- Dirichlet-Branes and Ramond-Ramond Charges
- Black Hole Attractors and the Topological String
- Friedmann Universes and Exact Solutions in String Cosmology
- Variational principle and a perturbative solution of non-linear string equations in curved space
- Stringy Jacobi fields in Morse theory
Cited by in corpus (7)
- Dynamics of stringy congruence in early universe
- Photon intrinsic frequency and size in stringy photon model
- Dirac type relativistic quantum mechanics for massive photons
- Kaluza-Klein mass spectra on extended dimensional branes
- Phenomenologies in hypersphere soliton and stringy photon models
- Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole
- Equation of State Parameters for Fluid of Stringy Extended Objects in Cosmology with Cosmological Constant