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Mathematical Model of Calculating Metric Tensor and GNSS-observations Errors Taking into Account Relativistic Effects
Published 2018-08-01“…Considering the great distances and speeds of both satellites and the Earth in calculating these parameters, it is necessary to take into account the special and general theory of relativity. In the article formulas have been derived for calculating additional corrections for relativistic effects. …”
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22
Gravitation, cosmology and dark matter
Published 2023-04-01“…In this work, we present the fundamentals of the general theory of relativity, the standard cosmology and a description of current and interesting research topics about our current Universe, in addition the emergence of the dark matter problem has been raised, trying to outline possible dark matter candidates. …”
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23
Poincaré and Cosmic Space: Curved or not?
Published 2023-11-01“…The paper examines the question as it was discussed prior to the advent of the general theory of relativity.…”
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24
Immanence in Physics
Published 2017-12-01“…In this analysis it becomes apparent that transcendent characterizations of space have been dominant in physics during the past centuries, while immanent conceptions of space have come to the fore only since the development of the general theory of relativity. The importance of immanence in physics besides relativity is still lacking. …”
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25
Einstein and Rastall theories of gravitation in comparison
Published 2018-01-01“…In fact, Rastall theory of gravity is an “open” theory when compared to Einstein general theory of relativity. Thus, it is ready to accept the challenges of observational cosmology and quantum gravity.…”
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26
On conformally reducible pseudo-Riemannian spaces
Published 2021-09-01“…The obtained results can be effectively applied in further research in mechanics, geometry, and general theory of relativity. Under certain conditions the obtained equations describe the state of an ideal fluid and represent quasi-Einstein spaces. …”
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27
Some Curvature Properties of Finsler Warped Product Metrics
Published 2023-08-01“…The class of warped product metrics can often be interpreted as key space models for the general theory of relativity and theory of space-time. In this paper, we first obtain the PDE characterization of Finsler warped product metrics with a vanishing Riemannian curvature. …”
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28
SINGULARITAS RUANG-WAKTU BERMETRIK KERR, KERR-NEWMAN, DAN DE-SITTER DALAM TEORI RELATIVITAS UMUM
Published 2014“…Spacetime singularity in general theory of relativity has been considered. The definition of singularity was used based on the Kretchmann scalar criteria. …”
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Testing General Relativity with Gravitational Waves: An Overview
Published 2021-12-01“…These observations provide opportunities to test Einstein’s general theory of relativity at the strong-field regime. Here we give a brief overview of the various GW-based tests of General Relativity (GR) performed by the LIGO-Virgo collaboration on the detected GW events to date. …”
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30
Is the geopotential directly measurable
Published 2016-12-01“…This is impossible by classical physics and requires methods of Einstein’s General Theory of Relativity. The principle is that the geopotential can be “felt” by the “proper time” of this theory, but there remained the problem that the measuring accuracies were unthinkably high in 1985 and even later. …”
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31
The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
Published 2024-03-01“…These include the concept of a quintessence and modifications of the general theory of relativity by means of the scalar–tensor gravity exploiting the chameleon, symmetron and environment-dependent dilaton fields and corresponding particles. …”
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32
Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes
Published 2022-12-01“…For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov I-type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under consideration can effectively describe the early stages of the universe. …”
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33
Resummed Quantum Gravity: A Review with Applications
Published 2021-07-01“…In the context of the Planck scale cosmology formulation of Bonanno and Reuter, we review the use of our resummed quantum gravity approach to Einstein’s general theory of relativity to estimate the value of the cosmological constant as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ρ</mi><mi mathvariant="normal">Λ</mi></msub></semantics></math></inline-formula> = (0.0024 eV)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>4</mn></msup></semantics></math></inline-formula>. …”
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34
Probing Gravitational Waves from Pulsars in Brans–Dicke Theory
Published 2021-07-01“…Einstein’s general theory of relativity (GR) predicts only two tensor polarization states, but a generic metric theory of gravity can also possess scalar and vector polarization states. …”
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35
Empirical analysis of Moon’s gravitational wave and earth’s global warming
Published 2017-03-01“…Because the general theory of relativity that predicts the gravitational wave of a planet has a dimension of 1/(distance)2, we analyzed the data sets of global temperature and global carbon dioxide, with this dimension of gravitational wave using Least Squares Estimation of Linear Classical Regression Model, Generalized Classical Regression Model, and Nonlinear Regression Model. …”
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36
The Legacy of Einstein’s Eclipse, Gravitational Lensing
Published 2019-12-01“…A hundred years ago, two British expeditions measured the deflection of starlight by the Sun’s gravitational field, confirming the prediction made by Einstein’s General Theory of Relativity. One hundred years later many physicists around the world are involved in studying the consequences and use as a research tool, of the deflection of light by gravitational fields, a discipline that today receives the generic name of Gravitational Lensing. …”
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Finsler Warped Product Metrics with Special Curvature Properties
Published 2023-08-01“…The class of warped product metrics can often be interpreted as key space models for the general theory of relativity and theory of space–time. In this paper, we study several non-Riemannian quantities in Finsler geometry. …”
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38
The Weak Field Approximation of General Relativity and the Problem of Precession of the Perihelion for Mercury
Published 2022-12-01“…This shift is thought to be one of the fundamental tests of the validity of the general theory of relativity. In the current astrophysical community, it is generally accepted that the additional relativistic perihelion shift of Mercury is the difference between its observed perihelion shift and the one predicted by Newtonian mechanics, and that this difference equals <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>43</mn><mrow><mo>″</mo></mrow></msup></semantics></math></inline-formula> per century. …”
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Calculation of the Cosmological Constant for the Planetary System in Schwarzschild’s Cosmological Model
Published 2022-08-01“…In this work, the static cosmological model of the Schwarzschild solution for the solar system is proposed taking into account the cosmological constant in the equation of the general theory of relativity (GTR) proposed by A. Einstein. We found the nonlinear differential equation that describes the behavior of the planets around the Sun; this is solved exactly by the Jacobi and Weierstrass elliptic functions. …”
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Deviation of Geodesics, Particle Trajectories and the Propagation of Radiation in Gravitational Waves in Shapovalov Type III Wave Spacetimes
Published 2023-07-01“…The presented methods and approaches are applicable both to Einstein’s general theory of relativity and to modified theories of gravity.…”
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