scholarly journals Renormalized stress tensor in Kerr space-time: Numerical results for the Hartle-Hawking vacuum

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Gavin Duffy ◽  
Adrian C. Ottewill
Keyword(s):  
Stress Tensor ◽  
Space Time ◽  
Numerical Results ◽  
Kerr Space

scholarly journals Renormalized stress tensor in Kerr space-time: General results

2000 ◽  
Vol 62 (8) ◽  
Author(s):  
Adrian C. Ottewill ◽  
Elizabeth Winstanley
Keyword(s):  
Stress Tensor ◽  
Space Time ◽  
Kerr Space

scholarly journals Bargmann–Wigner formulation and superradiance problem of bosons and fermions in Kerr space–time

2015 ◽  
Vol 30 (11) ◽  
pp. 1550052 ◽  
Author(s):  
Masakatsu Kenmoku ◽  
Y. M. Cho
Keyword(s):  
Negative Energy ◽  
Space Time ◽  
The Other ◽  
Positive Energy ◽  
Independent Components ◽  
Consistent Description ◽  
Other Hand ◽  
Kerr Space

The superradiance phenomena of massive bosons and fermions in the Kerr space–time are studied in the Bargmann–Wigner formulation. In case of bi-spinor, the four independent components spinors correspond to the four bosonic freedom: one scalar and three vectors uniquely. The consistent description of the Bargmann–Wigner equations between fermions and bosons shows that the superradiance of the type with positive energy (0 < ω) and negative momentum near horizon (p H < 0) is shown not to occur. On the other hand, the superradiance of the type with negative energy (ω < 0) and positive momentum near horizon (0 < p H ) is still possible for both scalar bosons and spinor fermions.

scholarly journals Spinning cosmic strings in conformal gravity

2020 ◽  
Vol 35 (05) ◽  
pp. 2050024
Author(s):  
Reinoud Jan slagter ◽  
Christopher Levi Duston
Keyword(s):  
Cosmic String ◽  
Energy Condition ◽  
Space Time ◽  
Special Choice ◽  
Mass Relation ◽  
Conformal Gravity ◽  
Field Equations ◽  
Closed Timelike Curves ◽  
The Core ◽  
Kerr Space

We investigate the space–time of a spinning cosmic string in conformal invariant gravity, where the interior consists of a gauged scalar field. We find exact solutions of the exterior of a stationary spinning cosmic string, where we write the metric as [Formula: see text], with [Formula: see text] a dilaton field which contains all the scale dependences. The “unphysical” metric [Formula: see text] is related to the [Formula: see text]-dimensional Kerr space–time. The equation for the angular momentum [Formula: see text] decouples, for the vacuum situation as well as for global strings, from the other field equations and delivers a kind of spin-mass relation. For the most realistic solution, [Formula: see text] falls off as [Formula: see text] and [Formula: see text] close to the core. The space–time is Ricci flat. The formation of closed timelike curves can be pushed to space infinity for suitable values of the parameters and the violation of the weak energy condition can be avoided. For the interior, a numerical solution is found. This solution can easily be matched at the boundary on the exterior exact solution by special choice of the parameters of the string. This example shows the power of conformal invariance to bridge the gap between general relativity and quantum field theory.

Quantum Stress Tensor in Schwarzschild Space-Time

1984 ◽  
Vol 53 (5) ◽  
pp. 403-406 ◽  
Author(s):  
K. W. Howard ◽  
P. Candelas
Keyword(s):  
Stress Tensor ◽  
Space Time ◽  
Quantum Stress Tensor

Neutrino oscillation interference phase in Kerr space—time

2009 ◽  
Vol 18 (12) ◽  
pp. 5575-5582
Author(s):  
Ren Jun ◽  
Jia Meng-Wen ◽  
Yuan Chang-Qing
Keyword(s):  
Neutrino Oscillation ◽  
Space Time ◽  
Kerr Space ◽  
Interference Phase

Neutrino stress tensor regularization in two-dimensional space-time

1977 ◽  
Vol 356 (1685) ◽  
pp. 259-268 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Scalar Case ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Two Dimensional ◽  
Massless Spin ◽  
Dimensional Space Time ◽  
Point Splitting

The method of covariant point-splitting is used to regularize the stress tensor for a massless spin 1/2 (neutrino) quantum field in an arbitrary two-dimensional space-time. A thermodynamic argument is used as a consistency check. The result shows that the physical part of the stress tensor is identical with that of the massless scalar field (in the absence of Casimir-type terms) even though the formally divergent expression is equal to the negative of the scalar case.

scholarly journals Stability study of a model for the Klein–Gordon equation in Kerr space-time

2012 ◽  
Vol 45 (1) ◽  
pp. 203-227 ◽  
Author(s):  
Horst Reinhard Beyer ◽  
Miguel Alcubierre ◽  
Miguel Megevand ◽  
Juan Carlos Degollado
Keyword(s):  
Gordon Equation ◽  
Space Time ◽  
Stability Study ◽  
Klein Gordon ◽  
Kerr Space ◽  
Klein Gordon Equation
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