scholarly journals Exact solutions in (2+1)-dimensional anti-de Sitter space-time admitting a linear or non-linear equation of state

2014 ◽  
Vol 355 (2) ◽  
pp. 353-359 ◽  
Author(s):  
Ayan Banerjee ◽  
Farook Rahaman ◽  
Kanti Jotania ◽  
Ranjan Sharma ◽  
Mosiur Rahaman
Keyword(s):  
Equation Of State ◽  
Exact Solutions ◽  
Linear Equation ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Non Linear Equation ◽  
Non Linear

INFLATON POTENTIAL RECONSTRUCTION IN EINSTEIN–CARTAN COSMOLOGY

2001 ◽  
Vol 16 (21) ◽  
pp. 1353-1360 ◽  
Author(s):  
L. C. GARCIA DE ANDRADE
Keyword(s):  
Equation Of State ◽  
Particle Creation ◽  
De Sitter Space ◽  
Space Time ◽  
Generalized Equation ◽  
Relativistic Cosmology ◽  
De Sitter ◽  
Early Stages ◽  
General Relativistic ◽  
Chaotic Inflation

An extension of the reconstruction of inflaton potential in general relativistic cosmology to space–times with spin–torsion density is undertaken. Torsion effects are shown to decrease when the number of e-folds increases and are important only at the early stages of the inflation. The potential is computed in terms of a generalized equation of state and when the spin–torsion density is high and a chaotic inflation potential is found. A particle creation model in Einstein–Cartan cosmology is also shown to lead to chaotic inflation potential in de Sitter space–time.

scholarly journals REDUCTION FORMALISM FOR DIRAC FERMIONS ON DE SITTER SPACE–TIME

2008 ◽  
Vol 23 (07) ◽  
pp. 1075-1087 ◽  
Author(s):  
COSMIN CRUCEAN ◽  
RADU RACOCEANU
Keyword(s):  
Perturbation Theory ◽  
Dirac Equation ◽  
Exact Solutions ◽  
Scattering Amplitude ◽  
De Sitter Space ◽  
Space Time ◽  
Green Functions ◽  
Dirac Fermions ◽  
De Sitter

The reduction formulas for Dirac fermions is derived using the exact solutions of free Dirac equation on de Sitter space–time. In the framework of the perturbation theory one studies the Green functions and derives the scattering amplitude in the first orders of perturbation theory.

scholarly journals Exact solutions to Einstein–Maxwell theory on Eguchi–Hanson space

2017 ◽  
Vol 32 (17) ◽  
pp. 1750098 ◽  
Author(s):  
A. M. Ghezelbash ◽  
V. Kumar
Keyword(s):  
Cosmological Constant ◽  
Exact Solutions ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Maxwell Theory ◽  
Analytical Functions ◽  
Higher Dimensional ◽  
All Solutions ◽  
Metric Functions

In this paper, we construct explicit analytical exact solutions to the six and higher-dimensional Einstein–Maxwell theory. In all solutions, a subspace of the metric is the Eguchi–Hanson space where the metric functions are completely determined in terms of known analytical functions. Moreover, we find the solutions can be extended from nonstationary exact solutions to Einstein–Maxwell theory with cosmological constant. We show that the solutions are asymptotically expanding patches of de Sitter space–time.

Sign in / Sign up

Export Citation Format

Share Document