scholarly journals FINITE PARTICLE CREATION IN 3+1 DE SITTER SPACE

1995 ◽  
Vol 10 (33) ◽  
pp. 2519-2530
Author(s):  
D.J. LAMB ◽  
A.Z. CAPRI ◽  
M. KOBAYASHI
Keyword(s):  
Particle Creation ◽  
De Sitter Space ◽  
Bogoliubov Transformation ◽  
De Sitter ◽  
Stationary Observer ◽  
Definition Of ◽  
Spacelike Surfaces ◽  
Finite Particle

In this paper we calculate the particle creation as seen by a stationary observer in 3+1 de Sitter space. This particle creation is calculated using an observer-dependent geometrically based definition of time which is used to quantize a field on two different spacelike surfaces. The Bogoliubov transformation relating these two quantizations is then calculated and the resulting particle creation is shown to be finite.

PARTICLE PRODUCTION IN COSMOLOGICAL SPACETIMES WITH ELECTROMAGNETIC FIELDS

2009 ◽  
Vol 24 (14) ◽  
pp. 1129-1136 ◽  
Author(s):  
SHAHPOOR MORADI
Keyword(s):  
Electromagnetic Fields ◽  
Particle Production ◽  
Charged Particles ◽  
Particle Creation ◽  
Scalar Particle ◽  
De Sitter Space ◽  
Bogoliubov Transformation ◽  
De Sitter ◽  
Charged Scalar ◽  
Charged Scalar Particle

We calculate the charged scalar particle creation in the presence of gravitational and electromagnetic fields in two models of spatially flat Robertson–Walker spacetimes: de Sitter space and asymptotically radiation dominated model. We used the Bogoliubov transformation to compute the rate of production of the particles. Possibility of creation of massless charged particles is also discussed.

scholarly journals STRING SCATTERING OFF THE (2 + 1)-DIMENSIONAL ROTATING BLACK HOLE

1996 ◽  
Vol 11 (18) ◽  
pp. 1467-1473 ◽  
Author(s):  
MAKOTO NATSUUME ◽  
NORISUKE SAKAI ◽  
MASAMICHI SATO
Keyword(s):  
Black Hole ◽  
De Sitter Space ◽  
Hawking Temperature ◽  
Bogoliubov Transformation ◽  
De Sitter ◽  
Rotating Black Hole ◽  
Black Hole Background ◽  
Dimensional Black Hole

The SL (2, R)/Z WZW orbifold which describes the (2+1)-dimensional black hole approaching anti-de Sitter space asymptotically. We study the 1 → 1 tachyon scattering off the rotating black hole background and calculate the Hawking temperature using the Bogoliubov transformation.

Particle creation in de Sitter space

1985 ◽  
Vol 31 (4) ◽  
pp. 754-766 ◽  
Author(s):  
E. Mottola
Keyword(s):  
Particle Creation ◽  
De Sitter Space ◽  
De Sitter

scholarly journals ON BOGOLIUBOV TRANSFORMATION OF SCALAR WAVE FUNCTIONS IN DE SITTER SPACE

1994 ◽  
Vol 09 (39) ◽  
pp. 3673-3684 ◽  
Author(s):  
HARU-TADA SATO ◽  
HISAO SUZUKI
Keyword(s):  
Hypergeometric Functions ◽  
Integral Relation ◽  
De Sitter Space ◽  
Negative Energy ◽  
Wave Functions ◽  
The Other ◽  
Bogoliubov Transformation ◽  
Scalar Wave ◽  
De Sitter ◽  
Negative Energy States

We discuss the Bogoliubov transformation of the scalar wave functions caused by the change of coordinates in four-dimensional de Sitter space. It is shown that the exact Bogoliubov coefficients can be obtained from the global coordinates to the static coordinates where there exists manifest horizon. We consider two types of global coordinates. In one global coordinates, it is shown that the Bogoliubov transformation to the static coordinates can be expressed by the discontinuous integral of Weber and Schafheitlin. The positive and negative energy states in the global coordinates degenerate in the static coordinates. In the other global coordinates, we obtain the Bogoliubov coefficients by using the analytic continuation of the hypergeometric functions in two variables. We also discuss the relation between two types of global coordinates and find an integral relation between the mode functions.

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.

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