The problem posed by Einstein in 1913 related to the inclusion of the energy-momentum tensor of the gravitational field in the equation of the same gravitational field has been solved. At the same time, it was possible to preserve the covariance of the equation. In small fields, the new gravitational field equation successfully transforms into the Einstein equation. The new equation implies a local conservation law. The numerical solution of the equation is given. The numerical solution for g_{00} is given. This parameter is strictly positive. Within the region of large fields the value quickly drops to almost zero. The region where extremely small values of g_{00} can be found corresponds to the interval 0 < r < 3.4 r_g. This interval is c...
For the relativistic uniform system with an invariant mass density the exact expressions are determi...
In this contribution, we have constructed new analytical solutions for initial data of the Einstein ...
Abstract The Riemann tensor is the cornerstone of general relativity, but as is well known it does n...
A gravitational field equation has been found that is completely in keeping with all of the postulat...
In this paper, we solved the Klein-Gordon equation for a light reside in an area influenced by stron...
In Part I, we construct a symmetric stress-energy-momentum pseudo-tensor for the gravitational fiel...
According to the principle of the general relativity theory, the gravity field equation should conta...
eral relativity, having earlier shown that gravity does influence light’s motion. Only a few months ...
In this work, the field of a gravitational shockwave generated by a massless point-like particle is ...
This project is focused on the numerical solutions of Einstein's equations, which de-scribe pro...
A new integration condition for Einstein’s field equations is found in the static case of a spherica...
Key words Classical general relativity, singularities and cosmic censorship, initial value problem f...
Determinants of the second rank tensors stand useful in forming generally invariant terms as in the ...
Effective field theory methods suggest that some rather-general extensions of General Relativity inc...
An isotropic metric for a black hole and a better vacuum condition \nabla^2 V_G =0 are presented whi...
For the relativistic uniform system with an invariant mass density the exact expressions are determi...
In this contribution, we have constructed new analytical solutions for initial data of the Einstein ...
Abstract The Riemann tensor is the cornerstone of general relativity, but as is well known it does n...
A gravitational field equation has been found that is completely in keeping with all of the postulat...
In this paper, we solved the Klein-Gordon equation for a light reside in an area influenced by stron...
In Part I, we construct a symmetric stress-energy-momentum pseudo-tensor for the gravitational fiel...
According to the principle of the general relativity theory, the gravity field equation should conta...
eral relativity, having earlier shown that gravity does influence light’s motion. Only a few months ...
In this work, the field of a gravitational shockwave generated by a massless point-like particle is ...
This project is focused on the numerical solutions of Einstein's equations, which de-scribe pro...
A new integration condition for Einstein’s field equations is found in the static case of a spherica...
Key words Classical general relativity, singularities and cosmic censorship, initial value problem f...
Determinants of the second rank tensors stand useful in forming generally invariant terms as in the ...
Effective field theory methods suggest that some rather-general extensions of General Relativity inc...
An isotropic metric for a black hole and a better vacuum condition \nabla^2 V_G =0 are presented whi...
For the relativistic uniform system with an invariant mass density the exact expressions are determi...
In this contribution, we have constructed new analytical solutions for initial data of the Einstein ...
Abstract The Riemann tensor is the cornerstone of general relativity, but as is well known it does n...