Higher-order geodesic deviation for charged particles and resonance induced by gravitational waves

2018 ◽  
Vol 27 (04) ◽  
pp. 1850042 ◽  
Author(s):  
M. Heydari-Fard ◽  
S. N. Hasani
Keyword(s):  
Magnetic Field ◽  
Magnetic Resonance ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Constant Magnetic Field ◽  
Charged Particles ◽  
Higher Order ◽  
Geodesic Deviation ◽  
High Frequencies ◽  
Test Particles

We generalize the higher-order geodesic deviation for the structure-less test particles to the higher-order geodesic deviation equations of the charged particles [R. Kerner, J. W. van Holten and R. Colistete Jr., Class. Quantum Grav. 18 (2001) 4725]. By solving these equations for charged particles moving in a constant magnetic field in the spacetime of a gravitational wave, we show for both cases when the gravitational wave is parallel and perpendicular to the constant magnetic field, a magnetic resonance appears at [Formula: see text]. This feature might be useful to detect the gravitational wave with high frequencies.

scholarly journals Perihelion Advance and Trajectory of Charged Test Particles in Reissner-Nordstrom Field via the Higher-Order Geodesic Deviations

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Malihe Heydari-Fard ◽  
Saeed Fakhry ◽  
Seyedeh Nahid Hasani
Keyword(s):  
Perturbation Method ◽  
Approximation Method ◽  
Charged Particles ◽  
Higher Order ◽  
Space Time ◽  
Compact Objects ◽  
Geodesic Deviation ◽  
Test Particles ◽  
Perihelion Advance ◽  
Charged Test

By using the higher-order geodesic deviation equations for charged particles, we apply the method described by Kerner et.al. to calculate the perihelion advance and trajectory of charged test particles in the Reissner-Nordstrom space-time. The effect of charge on the perihelion advance is studied and we compared the results with those obtained earlier via the perturbation method. The advantage of this approximation method is to provide a way to calculate the perihelion advance and orbit of planets in the vicinity of massive and compact objects without considering Newtonian and post-Newtonian approximations.

scholarly journals Modifications to Plane Gravitational Waves from Minimal Lorentz Violation

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1318 ◽  
Author(s):  
Rui Xu
Keyword(s):  
General Relativity ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Lorentz Invariance ◽  
Lorentz Violation ◽  
First Order ◽  
Test Particles ◽  
Violation Of Lorentz Invariance ◽  
Plane Gravitational Waves ◽  
Wave Modes

General Relativity predicts two modes for plane gravitational waves. When a tiny violation of Lorentz invariance occurs, the two gravitational wave modes are modified. We use perturbation theory to study the detailed form of the modifications to the two gravitational wave modes from the minimal Lorentz-violation coupling. The perturbation solution for the metric fluctuation up to the first order in Lorentz violation is discussed. Then, we investigate the motions of test particles under the influence of the plane gravitational waves with Lorentz violation. First-order deviations from the usual motions are found.

scholarly journals Dynamics of charged test particles around quantum-corrected Schwarzschild black holes

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
Bo Gao ◽  
Xue-Mei Deng
Keyword(s):  
Magnetic Field ◽  
Black Holes ◽  
Monte Carlo ◽  
Charged Particles ◽  
Critical Energy ◽  
Periodic Oscillations ◽  
Test Particles ◽  
Charged Test ◽  
Twin Peak ◽  
Bounded Trajectory

AbstractWe investigate neutral and charged test particles’ motions around quantum-corrected Schwarzschild black holes immersed in an external magnetic field. Taking the innermost stable circular orbits of neutral timelike particles into account, we find that the black holes can mimic different ranges of the Kerr black hole’s spin |a/M| from 0.15 to 0.99. Our analysis of charged test particles’ motions suggests that the values of the angular momentum l and the energy $$E^{2}$$ E 2 are slightly higher than Schwarzschild black holes. The allowed regions of the $$(l,E^{2})$$ ( l , E 2 ) demonstrate that the critical energy $$E^{2}_{c}$$ E c 2 divides the charged test particle’s bounded trajectory into three types. With the help of a Monte Carlo method, we study the charged particles’ probabilities of falling into the black holes and find that the probability density function against l depends on the signs of the particles’ charges. Finally, the epicyclic frequencies of the charged particles are considered with respect to the observed twin peak quasi-periodic oscillations frequencies. Our results might provide hints for distinguishing quantum-corrected Schwarzschild black holes from Schwarzschild ones by using the dynamics of charged test particles around the strong gravitational field.

scholarly journals Measuring the scalar induced gravitational waves from observations

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Jun Li ◽  
Guang-Hai Guo
Keyword(s):  
Power Spectrum ◽  
Cosmic Microwave Background ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Cosmological Parameters ◽  
Numerical Results ◽  
Microwave Background ◽  
High Frequencies ◽  
Special Cases ◽  
Relic Density

AbstractWe consider the scalar induced gravitational waves from the cosmic microwave background (CMB) observations and the gravitational wave observations. In the $$\Lambda $$ Λ CDM+r model, we constrain the cosmological parameters within the evolution of the scalar induced gravitational waves by the additional scalar power spectrum. The two special cases called narrow power spectrum and wide power spectrum have influence on the cosmological parameters, especially the combinations of Planck18+BAO+BK15+LISA. We also compare these numerical results from four datasets within LIGO, LISA, IPTA and FAST projects, respectively. The constraints from FAST have a significant impact on tensor-to-scalar ratio. Besides, we only consider the relic density of induced gravitational waves with respect to different frequencies from CMB scale to high frequencies including the range of LIGO and LISA.

Electrodynamics effects on colliding gravitational waves background

2020 ◽  
Vol 35 (18) ◽  
pp. 2050150
Author(s):  
Dong-Dong Wei ◽  
Xin-He Meng ◽  
Bin Wang
Keyword(s):  
Magnetic Field ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Linear Polarization ◽  
Electromagnetic Waves ◽  
Weak Magnetic Field ◽  
Collision Process ◽  
Plane Gravitational Wave ◽  
Colliding Gravitational Waves ◽  
Plane Gravitational Waves

The degenerate Ferrari-Ibanez solution describes the collision of plane gravitational waves with aligned linear polarization, within the interaction region, the solution is Schwarzschild-like metric, which impels us to be more interesting to analyze the collision process. In this paper, we have considered the electrodynamics effects on the colliding gravitational waves background. Moreover, we have calculated explicitly out the solutions of the electromagnetic waves produced by the plane gravitational wave and the colliding region of plane gravitational waves perturbing a weak magnetic field background. We also work out the solutions of these electromagnetic waves after crossing out a weak magnetic field background.

scholarly journals CHARGED PARTICLES WITH SPIN IN A GRAVITATIONAL WAVE AND A UNIFORM MAGNETIC FIELD

2006 ◽  
Vol 15 (01) ◽  
pp. 121-130 ◽  
Author(s):  
MORTEZA MOHSENI
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Gravitational Wave ◽  
Uniform Magnetic Field ◽  
Charged Particles ◽  
Space Time ◽  
Pp Wave

We study the motion of a pseudo-classical charged particle with spin in the space–time of a gravitational pp wave in the presence of a uniform magnetic field.

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