scholarly journals Some exact solutions for maximally symmetric topological defects in Anti de Sitter space

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Orlando Alvarez ◽  
Matthew Haddad
Keyword(s):  
Exact Solutions ◽  
Topological Defects ◽  
De Sitter Space ◽  
De Sitter

Massless fields in the static de Sitter space: Exact solutions and choice of the vacuum states

1988 ◽  
Vol 77 (2) ◽  
pp. 1137-1146 ◽  
Author(s):  
D. V. Gal'tsov ◽  
M. Yu. Morozov ◽  
A. V. Tikhonenko
Keyword(s):  
Exact Solutions ◽  
De Sitter Space ◽  
De Sitter ◽  
Vacuum States ◽  
Massless Fields

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.

Symmetries, conservation laws, reductions, and exact solutions for the Klein–Gordon equation in de Sitter space–times

2012 ◽  
Vol 90 (7) ◽  
pp. 667-674 ◽  
Author(s):  
S. Jamal ◽  
A.H. Kara ◽  
Ashfaque H. Bokhari
Keyword(s):  
Dynamical Systems ◽  
Exact Solutions ◽  
Gordon Equation ◽  
De Sitter Space ◽  
Fundamental Solutions ◽  
De Sitter ◽  
Klein Gordon ◽  
Symmetry Generators ◽  
Math Phys ◽  
Klein Gordon Equation

In this paper, we complement the analysis involving the “fundamental” solutions of the Klein–Gordon equation in de Sitter space–times given by Yagdjian and A. Galstian (Comm. Math. Phys. 285, 293 (2009); Discrete and Continuous Dynamical Systems S, 2(3), 483 (2009)). Using the symmetry generators, we classify and reduce the underlying equations and show how this process may lead to exact solutions by quadratures.

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

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.

scholarly journals Gravitational turbulent instability of anti-de Sitter space

2012 ◽  
Vol 29 (19) ◽  
pp. 194002 ◽  
Author(s):  
Óscar J C Dias ◽  
Gary T Horowitz ◽  
Jorge E Santos
Keyword(s):  
De Sitter Space ◽  
De Sitter
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