Separation of Variables for the Lax Pair of the Bogomolny Equation in 2+1 Dimensional Anti-de Sitter Space-time

2014 ◽  
pp. 351-360
Author(s):  
Zi-Xiang Zhou
Keyword(s):  
Separation Of Variables ◽  
De Sitter Space ◽  
Lax Pair ◽  
Space Time ◽  
De Sitter ◽  
Bogomolny Equation

scholarly journals SEPARABILITY OF GRAVITATIONAL PERTURBATION IN GENERALIZED KERR–NUT–DE SITTER SPACE–TIME

2010 ◽  
Vol 25 (15) ◽  
pp. 3055-3094 ◽  
Author(s):  
TAKESHI OOTA ◽  
YUKINORI YASUI
Keyword(s):  
Separation Of Variables ◽  
De Sitter Space ◽  
Space Time ◽  
Conformal Killing ◽  
Gravitational Perturbation ◽  
De Sitter ◽  
Gravitational Perturbations ◽  
Angular Momenta ◽  
Higher Dimensional ◽  
Rank 2

Generalized Kerr–NUT–de Sitter space–time is the most general space–time which admits a rank-2 closed conformal Killing–Yano tensor. It contains the higher-dimensional Kerr–de Sitter black holes with partially equal angular momenta. We study the separability of gravitational perturbations in the generalized Kerr–NUT–de Sitter space–time. We show that a certain type of tensor perturbations admits the separation of variables. The linearized perturbation equations for the Einstein condition are transformed into the ordinary differential equations of Fuchs type.

Noncommutative scalar field in de Sitter space–time and pair creation process

2021 ◽  
Vol 36 (02) ◽  
pp. 2150011
Author(s):  
Nabil Mehdaoui ◽  
Lamine Khodja ◽  
Salah Haouat
Keyword(s):  
Scalar Field ◽  
Chemical Potential ◽  
De Sitter Space ◽  
Space Time ◽  
Pair Creation ◽  
De Sitter ◽  
Creation Process ◽  
Scalar Particles ◽  
Constant Electromagnetic Field

In this work, we address the process of pair creation of scalar particles in [Formula: see text] de Sitter space–time in presence of a constant electromagnetic field by applying the noncommutativity on the scalar field up to first-order in [Formula: see text]. We calculate the density of particles created in the vacuum by the mean of the Bogoliubov transformations. In contrast to a previous result, we show that noncommutativity contributes to the pair creation process. We find that the noncommutativity plays the same role of chemical potential and gives an important interest for studies at high energies.

Quantum field theory in anti-de Sitter space-time

1978 ◽  
Vol 18 (10) ◽  
pp. 3565-3576 ◽  
Author(s):  
S. J. Avis ◽  
C. J. Isham ◽  
D. Storey
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
De Sitter Space ◽  
Space Time ◽  
Quantum Field ◽  
De Sitter
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