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.

scholarly journals Vacuum states for gravitons field in de Sitter space

2017 ◽  
Vol 96 (10) ◽  
Author(s):  
Kazuharu Bamba ◽  
Surena Rahbardehghan ◽  
Hamed Pejhan
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Vacuum States

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 On the consistency of (partially-)massless matter couplings in de Sitter space

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Charlotte Sleight ◽  
Massimo Taronna
Keyword(s):  
Gauge Invariance ◽  
Point Processes ◽  
Scalar Fields ◽  
Flat Space ◽  
De Sitter Space ◽  
Tree Level ◽  
De Sitter ◽  
Scalar Matter ◽  
Carry Over ◽  
Massless Fields

Abstract We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in (d + 1)-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields translates into Ward-Takahashi identities on the boundary. Using the Mellin-Barnes representation for boundary correlators in momentum space, we give a systematic study of Ward-Takahashi identities for tree-level 3- and 4-point processes involving a single external (partially-)massless field of arbitrary integer spin-J. 3-point Ward-Takahashi identities constrain the mass of the scalar fields to which a (partially-)massless spin-J field can couple. 4-point Ward-Takahashi identities then constrain the corresponding cubic couplings. For massless spinning fields, we show that Weinberg’s flat space results carry over to (d+1)-dimensional de Sitter space: for spins J = 1, 2 gauge-invariance implies charge-conservation and the equivalence principle while, assuming locality, higher-spins J > 2 cannot couple consistently to scalar matter. This result also applies to anti-de Sitter space. For partially-massless fields, restricting for simplicity to those of depth-2, we show that there is no consistent coupling to scalar matter in local theories. Along the way we also give a detailed account of how contact amplitudes with and without derivatives are represented in the Mellin-Barnes representation. Various new explicit expressions for 3- and 4-point functions involving (partially-)massless fields and conformally coupled scalars in dS4 are given.

Sign in / Sign up

Export Citation Format

Share Document