Solutions of Maxwell’s Equations in Vacuum for Stäckel Spaces of Type (1.1)

Обухов, В. В.

doi:10.1007/s11182-021-02372-9

Cited by 3 publications

(2 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The possibility of constructing such a complete integral leads to many useful consequences: obtaining the exact form of test particle trajectories (i.e., the ability to find the explicit form of geodesics), the possibility of exact integrating the geodesic deviation equation and calculating tidal accelerations in a gravitational wave. All these possibilities make it possible to analytically calculate the secondary physical effects of a gravitational wave when interacting with other physical objects and fields [12][13][14][15][16][17][18][19], as well as in theories of gravity with quantum and other modifications [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

2022

View full text Add to dashboard Cite

For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector of deviation, tidal accelerations in a gravitational wave are calculated. For the obtained solution in a privileged coordinate system, an explicit form of transformations into a synchronous reference system is found, which allows time synchronization at any points of space-time with separation of time and spatial coordinates. The synchronous reference system used is associated with a freely falling observer on the base geodesic. In a synchronous coordinate system, an explicit form of the gravitational wave metric, a 4-vector of geodesic deviation, and a 4-vector of tidal accelerations in a gravitational wave are obtained. The exact solution describes a variant of the primordial gravitational wave. The results of the work can be used to study the plasma radiation generated by tidal accelerations of a gravitational wave.

show abstract

Section: Introductionmentioning

confidence: 99%

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

2022

View full text Add to dashboard Cite

show abstract

“…The possibility of constructing such a complete integral leads to many useful consequences, such as obtaining the exact form of the test particle trajectories (i.e., the ability to find the explicit form of the geodesics) and the possibility of exactly integrating the geodesic deviation equation and calculating the tidal accelerations in a gravitational wave. All these possibilities make it feasible to analytically calculate the secondary physical effects of a gravitational wave when interacting with other physical objects and fields [13][14][15][16][17][18][19], as well as in theories of gravity with quantum and other modifications [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Deviation of Geodesics, Particle Trajectories and the Propagation of Radiation in Gravitational Waves in Shapovalov Type III Wave Spacetimes

2023

View full text Add to dashboard Cite

A class of exact (non-perturbative) models of strong gravitational waves based on Shapovalov type III spacetimes and Einstein’s vacuum equations is obtained. Exact solutions are found for the trajectories of particles and radiation in a gravitational wave in privileged coordinate systems. Exact solutions are obtained for the equations of geodesic deviation and tidal acceleration of particles in a gravitational wave in privileged coordinate systems. An explicit analytical law of transition from a privileged coordinate system to a synchronous reference system associated with a freely falling observer with an explicit selection of time and spatial coordinates is obtained. An explicit form of the metric of a gravitational wave in a synchronous frame of reference is obtained. For a synchronous frame of reference, the trajectories of particles and radiation, the deviation of geodesics, and tidal accelerations in a gravitational wave are obtained. The presented methods and approaches are applicable both to Einstein’s general theory of relativity and to modified theories of gravity.

show abstract

Exact Model of Gravitational Waves and Pure Radiation

Osetrin,

Epp,

Filippov

2024

Symmetry

View full text Add to dashboard Cite

An exact non-perturbative model of a gravitational wave with pure radiation is constructed. It is shown that the presence of dust matter in this model contradicts Einstein’s field equations. The exact solution to Einstein’s equations for gravitational wave and pure radiation is obtained. The trajectories of propagation and the characteristics of radiation are found. For the considered exact model of a gravitational wave, a retarded time equation for radiation is obtained. The obtained results are used to construct an exact model of gravitational wave and pure radiation for the Bianchi type IV universe.

show abstract

Solutions of Maxwell’s Equations in Vacuum for Stäckel Spaces of Type (1.1)

Cited by 3 publications

References 20 publications

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

Deviation of Geodesics, Particle Trajectories and the Propagation of Radiation in Gravitational Waves in Shapovalov Type III Wave Spacetimes

Exact Model of Gravitational Waves and Pure Radiation

Contact Info

Product

Resources

About