Radial motion of charged particles along axis of the Kerr–Newman– (anti-)de sitter space-time

2018 ◽  
Vol 6 (2) ◽  
pp. 19
Author(s):  
Kameshwar Nath Mishra ◽  
Varull Mishra
Keyword(s):  
Charged Particle ◽  
Effective Potential ◽  
Equatorial Plane ◽  
Jacobi Equation ◽  
Charged Particles ◽  
De Sitter Space ◽  
Space Time ◽  
Radial Motion ◽  
De Sitter ◽  
Hamilton Jacobi Equation

The motion of uncharged particles in the Kerr–Newman–(anti-)de Sitter space-time has been studied by using the Hamilton –Jacobi equation. We have considered both charged particle Q and non-vanishing cosmological constant Λ , focusing on the equatorial plane and space time of the axis. For the study of radial of radial motion on the axis of space time an effective potential have been developto describe the turning points  

5.—Adiabatic Motion in a Charged Particle Trap

1972 ◽  
Vol 70 ◽  
pp. 47-61 ◽  
Author(s):  
J. Byrne
Keyword(s):  
Charged Particle ◽  
Electromagnetic Fields ◽  
Jacobi Equation ◽  
Charged Particles ◽  
Adiabatic Invariants ◽  
Reflection Symmetry ◽  
Adiabatic Conditions ◽  
Adiabatic Motion ◽  
Particle Trap ◽  
Hamilton Jacobi Equation

SynopsisThe adiabatic invariants associated with the motion of charged particles, trapped in electromagnetic fields with rotational and reflection symmetry, have been studied using classical methods based on the Hamilton-Jacobi equation. It has been shown that results, valid for trapping in purely magnetic configurations, may be applied in the analysis of electromagnetic charged particle traps, provided that suitably modified expressions are used for the angular frequencies in the various dynamical modes. Attention is drawn to circumstances in which the adiabatic conditions may be violated because of cancellation of electric and magnetic terms in the equations.

Trajectories of material particles in Kerr–Newman–de Sitter space–time

1989 ◽  
Vol 67 (5) ◽  
pp. 501-504
Author(s):  
K. D. Krori ◽  
Ranjana Choudhury ◽  
J. C. Sarmah
Keyword(s):  
Black Hole ◽  
Equatorial Plane ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Newman Black Hole

In this paper we show that in the Kerr–Newman–de Sitter space–time material particles may move in stable orbits in the equatorial plane (θ = π/2) of the Kerr–Newman black hole.

Hawking radiation of Reissner-Nordström de Sitter Black Hole with a Global Monopole derived from modified Hamilton-Jacobi equation

2020 ◽  
Author(s):  
Zhi-E Liu ◽  
Xia Tan ◽  
Yu-Zhen Liu ◽  
Bei Sha ◽  
Jie Zhang ◽  
...  
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Jacobi Equation ◽  
Lorentz Violation ◽  
Physical Nature ◽  
Space Time ◽  
Global Monopole ◽  
De Sitter ◽  
Curved Space ◽  
Hamilton Jacobi Equation

The tunneling characteristics at cosmological horizon and event horizon of Reissner-Nordström de Sitter black hole with a global monopole are studied by using the modified Lorentz violation scalar field equation in curved space-time. Firstly, we get the modified Hamilton-Jacobi equation by semi-classical approximation, then the Hawking radiation and thermodynamical properties of Reissner-Nordström de Sitter black hole with a global monopole are computed based on the modified Hamilton-Jacobi equation. Our results show that Lorentz violation can lead to lower Hawking temperature and higher entropy of the black hole at the same time. This work can improve the understanding on the physical nature of Lorentz violation in curved space-time.

scholarly journals A new model of arcsin-gravity

2015 ◽  
Vol 12 (07) ◽  
pp. 1550077 ◽  
Author(s):  
S. I. Kruglov
Keyword(s):  
Constant Curvature ◽  
Critical Points ◽  
Effective Potential ◽  
Flat Space ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
New Model ◽  
Slow Roll ◽  
Jordan And Einstein Frames

The new model of modified F(R)-gravity theory with the function F(R) = R + (a/γ) arcsin (γR) is suggested and investigated. Constant curvature solutions corresponding to the extremum of the effective potential are obtained. We consider both the Jordan and Einstein frames, and the potential and the mass of the scalar degree of freedom are found. It was shown that the de Sitter space-time is unstable but the flat space-time is stable. We calculate the slow-roll parameters ϵ, η, and the e-fold number of the model. Critical points of autonomous equations for the de Sitter phase and the matter dominated epoch are obtained and learned.

scholarly journals Analyticity Properties and Thermal Effects for General Quantum Field Theory on de Sitter Space-Time

1998 ◽  
Vol 196 (3) ◽  
pp. 535-570 ◽  
Author(s):  
Jacques Bros ◽  
Henri Epstein ORF RID="a3"> ◽  
Ugo Moschella
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Thermal Effects ◽  
De Sitter Space ◽  
Space Time ◽  
Quantum Field ◽  
De Sitter ◽  
General Quantum

scholarly journals One-loop effective potential for SO(10) GUT theories in de Sitter space

1994 ◽  
Vol 11 (8) ◽  
pp. 2031-2044 ◽  
Author(s):  
Giampiero Esposito ◽  
Gennaro Miele ◽  
Luigi Rosa
Keyword(s):  
Effective Potential ◽  
De Sitter Space ◽  
De Sitter
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