Newtonian analogue of force and motion of a free particle in the gravitational field of Kerr-de Sitter space-time

1987 ◽  
Vol 139 (2) ◽  
pp. 263-273 ◽  
Author(s):  
T. Singh ◽  
R. S. Srivastava
Keyword(s):  
Gravitational Field ◽  
Free Particle ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Force And Motion

scholarly journals VACUUM FLUCTUATION FORCE ON A RIGID CASIMIR CAVITY IN DE SITTER AND SCHWARZSCHILD–DE SITTER SPACE–TIME

2012 ◽  
Vol 27 (28) ◽  
pp. 1250166 ◽  
Author(s):  
XIANG CHEN
Keyword(s):  
Gravitational Field ◽  
Event Horizon ◽  
Gravitational Force ◽  
De Sitter Space ◽  
Negative Energy ◽  
Space Time ◽  
De Sitter ◽  
Vacuum Fluctuation ◽  
Fluctuation Force ◽  
Weak Gravitational Field

We investigate the net force on a rigid Casimir cavity generated by vacuum fluctuations of electromagnetic field in three cases: de Sitter space–time, de Sitter space–time with weak gravitational field and Schwarzschild–de Sitter space–time. In de Sitter space–time the resulting net force follows the square inverse law but unfortunately it is too weak to be measurable due to the large universe radius. By introducing a weak gravitational field into the de Sitter space–time, we find that the net force can now be split into two parts, one is the gravitational force due to the induced effective mass between the two plates and the other one is generated by the metric structure of de Sitter space–time. In order to investigate the vacuum fluctuation force on the rigid cavity under strong gravitational field, we perform a similar analysis in Schwarzschild–de Sitter space–time and results are obtained in three different limits. The most interesting one is when the cavity gets closer to the horizon of a blackhole, square inverse law is recovered and the repulsive force due to negative energy/mass of the cavity now has an observable strength. More importantly the force changes from being repulsive to attractive when the cavity crosses the event horizon, so that the energy/mass of the cavity switches the sign, which suggests the unusual time direction inside the event horizon.

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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