scholarly journals Hawking radiation of five-dimensional charged black holes with scalar fields

2017 ◽  
Vol 772 ◽  
pp. 542-546 ◽  
Author(s):  
Yan-Gang Miao ◽  
Zhen-Ming Xu
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Scalar Fields ◽  
Charged Black Holes

scholarly journals Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Shahar Hod
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Coupling Parameter ◽  
Analytical Formula ◽  
Scalar Fields ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Charged Black Holes ◽  
Black Hole Spacetimes ◽  
Electromagnetic Tensor

AbstractIt has recently been revealed that massless scalar fields which are non-minimally coupled to the Maxwell electromagnetic tensor can be supported in the exterior spacetime regions of spherically symmetric charged black holes. The boundary between scalarized charged black-hole spacetimes and bald (scalarless) Reissner–Nordström black holes is determined by the presence of a critical existence-line which describes spatially regular linearized scalar ‘clouds’ that are supported in the black-hole spacetime. In the present paper we use analytical techniques in order to solve the Klein–Gordon wave equation for the non-minimally coupled linearized scalar fields in the spacetimes of near-extremal supporting black holes. In particular, we derive a remarkably compact analytical formula for the discrete resonant spectrum $$\{\alpha (l,Q/M;n)\}^{n=\infty }_{n=1}$$ { α ( l , Q / M ; n ) } n = 1 n = ∞ which characterizes the dimensionless coupling parameter of the composed Reissner–Nordström-black-hole-nonminimally-coupled-massless-scalar-field configurations along the critical existence-line of the Einstein–Maxwell-scalar theory (here Q/M is the dimensionless charge-to-mass ratio of the central supporting black hole and l is the angular harmonic index of the supported scalar configurations).

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.

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.

scholarly journals GRAVITATIONAL ANOMALIES: A RECIPE FOR HAWKING RADIATION

2008 ◽  
Vol 17 (03n04) ◽  
pp. 533-539 ◽  
Author(s):  
SAURYA DAS ◽  
SEAN P. ROBINSON ◽  
ELIAS C. VAGENAS
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Effective Theory ◽  
General Covariance ◽  
Quantum Level ◽  
Gravitational Anomaly ◽  
Charged Black Holes ◽  
Black Rings ◽  
Rotating Black Holes ◽  
Arbitrary Space

We explore the method of Robinson and Wilczek for deriving the Hawking temperature of a black hole. In this method, the Hawking radiation restores general covariance in an effective theory of near-horizon physics which otherwise exhibits a gravitational anomaly at the quantum level. The method has been shown to work for broad classes of black holes in arbitrary space–time dimensions. These include static black holes, accreting or evaporating black holes, charged black holes, rotating black holes, and even black rings. In the cases of charged and rotating black holes, the expected superradiant current is also reproduced.

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