Power Law Inflation and the Cosmic No Hair Theorem in Brane World
@inproceedings{Paul2004PowerLI, title={Power Law Inflation and the Cosmic No Hair Theorem in Brane World}, author={Bikash Chandra Paul and Aroon Beesham}, year={2004} }
We study the cosmic no hair theorem for anisotropic Bianchi models that admit power law inflation with a scalar field in the framework of Brane world. The power law inflationary solution obtained here is driven by the curvature term in the modified field equation in Brane. It is found that all Bianchi models except Bianchi type IX, transit to an inflationary regime with vanishing anisotropy. We note that in the Brane world anisotropic universe isotropizes much faster than that in the general…
References
SHOWING 1-10 OF 50 REFERENCES
Inflation in bianchi models and the cosmic no hair theorem in brane world
- Mathematics
- 2001
In this paper, the cosmic no hair theorem for anisotropic Bianchi models which admit inflation with a scalar field is studied in the framework of Brane world. It is found that all Bianchi models…
Inflationary cosmologies in an anisotropic brane world
- Physics
- 2001
A new cosmological solution of the gravitational field equations in the generalized Randall-Sundrum model for an anisotropic brane with Bianchi type-I geometry and with perfect fluid as the matter…
Anisotropy dissipation in brane-world inflation
- Physics
- 2001
We examine the behavior of an anisotropic brane-world in the presence of inflationary scalar fields. We show that, contrary to naive expectations, a large anisotropy does not adversely affect…
Chaotic inflationary universe on brane
- Physics
- 2003
The chaotic inflationary model of the early universe, proposed by Linde is explored in the brane world considering matter described by a minimally coupled self interacting scalar field. We obtain…
Cosmic no-hair theorem in power-law inflation.
- MathematicsPhysical review. D, Particles and fields
- 1992
It is found that the isotropic power-law solution is the unique attractor for any initially expanding Bianchi-type models except type IX, and this conclusion is also true if the initial ratio of the vacuum energy to the maximum three-curvature is larger than one half.
The shear dynamics in the Bianchi I cosmological model on the brane
- Physics
- 2001
The shear dynamics in the Bianchi I cosmological model on the brane with a perfect fluid (the equation of state is p = (γ − 1)µ) is studied. It is shown that for 1 <γ <2 the shear parameter has…
Aspects of Tachyonic inflation with exponential potential
- Physics
- 2002
We consider issues related to tachyonic inflation with an exponential potential. We find an exact solution of the evolution equations in the slow roll limit in FRW cosmology. We also carry out a…
Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant
- Mathematics, Physics
- 1983
We examine the late-time behavior of intially expanding homogeneous cosmological models satisfying Einstein's equation with a positive cosmological constant $\ensuremath{\Lambda}$. It is shown that…