S-MATRICES FOR QUANTUM CHARGED MASSIVE SCALAR PARTICLES ON SCHWARZSCHILD AND REISSNER–NORDSTRÖM BLACK HOLES

2000 ◽  
Vol 09 (01) ◽  
pp. 79-89 ◽  
Author(s):  
N. E. FIRSOVA
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Scalar Fields ◽  
Massive Scalar ◽  
Numerical Computations ◽  
Scattering Problems ◽  
Complex Scalar ◽  
Scalar Particles

We study the scattering problems arising when considering the contribution of the topologically inequivalent configurations (TICs) of the massive complex scalar fields on Schwarzschild and Reissner–Nordström black holes to the Hawking radiation. The corresponding S-matrices are explored and presented in the form convenient to numerical computations.

S-MATRICES FOR QUANTUM CHARGED MASSIVE SCALAR PARTICLES ON KERR BLACK HOLES

2001 ◽  
Vol 16 (22) ◽  
pp. 1465-1477 ◽  
Author(s):  
N. E. FIRSOVA
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Hawking Radiation ◽  
Massive Scalar ◽  
Numerical Computations ◽  
Scattering Problems ◽  
Complex Scalar ◽  
Scalar Particles ◽  
Complex Scalar Field ◽  
Kerr Black Holes

The results obtained recently on the scattering problems connected with the contribution of the topologically inequivalent configurations of the massless complex scalar field on Kerr black holes to the Hawking radiation are extended to include the massive case as well. The corresponding S-matrices are examined and presented in the form convenient for numerical computations.

S-MATRICES FOR QUANTUM CHARGED MASSLESS SCALAR PARTICLES ON KERR BLACK HOLES

2000 ◽  
Vol 15 (28) ◽  
pp. 4463-4476
Author(s):  
N. E. FIRSOVA
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Hawking Radiation ◽  
Massless Scalar ◽  
Numerical Computations ◽  
Scattering Problems ◽  
Complex Scalar ◽  
Scalar Particles ◽  
Complex Scalar Field ◽  
Kerr Black Holes

The scattering problems that arise when considering the contribution of the topologically inequivalent configurations (TIC's) of the massless complex scalar field on Kerr black holes to the Hawking radiation are studied. The corresponding S-matrices are examined and presented in the form convenient for numerical computations.

scholarly journals S-Matrices for Spinor Particles on Reissner–Nordström Black Holes

2003 ◽  
Vol 18 (19) ◽  
pp. 1287-1296 ◽  
Author(s):  
N. E. Firsova
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Numerical Computations ◽  
Scattering Problems

The scattering problems arising when considering the contribution of the topologically inequivalent configurations of the spinors on Reissner–Nordström black holes to the Hawking radiation is correctly stated. The corresponding S-matrices are described and presented in the form convenient to numerical computations.

S-MATRICES FOR SPINOR PARTICLES ON SCHWARZSCHILD BLACK HOLES

2001 ◽  
Vol 16 (24) ◽  
pp. 1573-1581 ◽  
Author(s):  
N. E. FIRSOVA
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Numerical Computations ◽  
Scattering Problems

The scattering problems arising when considering the contribution of the topologically inequivalent configurations of the spinors on Schwarzschild black holes to the Hawking radiation are correctly stated. The corresponding S-matrices are described and presented in the form convenient to numerical computations.

HAWKING RADIATION FOR TWISTED COMPLEX SCALAR FIELDS ON BLACK HOLES AND DIRAC MONOPOLES

1995 ◽  
Vol 10 (25) ◽  
pp. 1813-1819 ◽  
Author(s):  
YU.P. GONCHAROV ◽  
J.V. YAREVSKAYA
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Scalar Fields ◽  
Magnetic Monopoles ◽  
Topological Properties ◽  
Complex Scalar ◽  
Total Luminosity ◽  
Essential Contribution ◽  
The Given ◽  
Infinite Set

It is shown that the existence of twisted complex scalar fields on black holes can naturally be connected with an infinite set of Dirac magnetic monopoles living on black holes due to nontrivial topological properties of the latter ones. This can lead to an essential contribution to the total luminosity of black hole with respect to the Hawking radiation. The given possibilities for other types of fields are also discussed.

scholarly journals Instability of charged massive scalar fields in bound states around Kerr–Sen black holes

2015 ◽  
Vol 24 (14) ◽  
pp. 1550102 ◽  
Author(s):  
Haryanto M. Siahaan
Keyword(s):  
Black Holes ◽  
Bound States ◽  
Gordon Equation ◽  
Scalar Fields ◽  
Bound State ◽  
Imaginary Component ◽  
Scalar Perturbation ◽  
Massive Scalar ◽  
Massive Scalar Field ◽  
Klein Gordon

In this paper, we show the instability of a charged massive scalar field in bound states around Kerr–Sen black holes. By matching the near and far region solutions of the radial part in the corresponding Klein–Gordon equation, one can show that the frequency of bound state scalar fields contains an imaginary component which gives rise to an amplification factor for the fields. Hence, the unstable modes for a charged and massive scalar perturbation in Kerr–Sen background can be shown.

scholarly journals Charged complexity and the thermofield double state

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Shira Chapman ◽  
Hong Zhe (Vincent) Chen
Keyword(s):  
Black Holes ◽  
Computational Complexity ◽  
Chemical Potential ◽  
Geometric Approach ◽  
Scalar Fields ◽  
Complex Scalar ◽  
Gaussian States ◽  
Charged Black Holes ◽  
Momentum Mode ◽  
Systematic Framework

Abstract We establish a systematic framework for studying quantum computational complexity of Gaussian states of charged systems based on Nielsen’s geometric approach. We use this framework to examine the effect of a chemical potential on the dynamics of complexity. As an example, we consider the complexity of a charged thermofield double state constructed from two free massive complex scalar fields in the presence of a chemical potential. We show that this state factorizes between positively and negatively charged modes and demonstrate that this fact can be used to relate it, for each momentum mode separately, to two uncharged thermofield double states with shifted temperatures and times. We evaluate the complexity of formation for the charged thermofield double state, both numerically and in certain analytic expansions. We further present numerical results for the time dependence of complexity. We compare various aspects of these results to those obtained in holography for charged black holes.

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