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Gravitation equations, and spacetime relativity
, 805
"... In contrast to electrodynamics, Einstein’s gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It seems obvious enough that just these mappings should play a r ..."
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In contrast to electrodynamics, Einstein’s gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It seems obvious enough that just these mappings should play a
A Formulation of the Gravitational Equation of Motion
, 2001
"... this paper, we emphasize that constraints on coordinate conditions are imposed by the principle of equivalence. Einstein (1916) illustrated the principle of equivalence using the following simple example. Let S be an inertial reference system; let another system K be uniformly accelerated with respe ..."
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with respect to S . Then relative to K, all free bodies have equal and parallel accelerations. They behave just as if a gravitational field were present and K were unaccelerated. In order to formulate the above simple equivalent gravitational field suggested by Einstein, let us start with an inertial system
1 ON THE UNIVERSAL QUANTUMGRAVITATION EQUATION AND DIRAC HYPOTHESIS
"... The authors propose a gravitational electromagnetic vortex (G.EMvortex) as a basic model for the Universe having a vacuum field fluctuation structure, in which, h, c, and G are three unvarying universal fundamental constants. The Einstein’s massenergy relation is to hold with a new form of quantu ..."
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The authors propose a gravitational electromagnetic vortex (G.EMvortex) as a basic model for the Universe having a vacuum field fluctuation structure, in which, h, c, and G are three unvarying universal fundamental constants. The Einstein’s massenergy relation is to hold with a new form
Fractional Derivative Approach to the Selfgravitation Equation
, 2008
"... The construction of selfconsistent models for stellar systems is of great interest in astrophysics. As it was pointed out by some authors, the most straightforward way to perform such models is to start with an assumed potential defining ..."
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The construction of selfconsistent models for stellar systems is of great interest in astrophysics. As it was pointed out by some authors, the most straightforward way to perform such models is to start with an assumed potential defining
Spherically Symmetric Solutions of Gravitation Equations on the Background With Spatial Sections of Constant Curvature
"... We investigate the vacuum and charged spherically symmetric static solutions of the Einstein equations on cosmological background. The background metric is not flat, but curved, with constant  curvature spatial sections. Both vacuum and charged cases contain two branches. The first branches transfo ..."
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transform into the Schwarzschild and ReissnerNordstrom solutions if the background metric goes to the Minkovski one. The second branches describe wormholes and have no Einstein limit. 1 Introduction It is well  known that the equations describing gravitation with a given background metric coincide
FourIndex Equations for the Gravitation and the Gravitational
, 2008
"... A new treatment of gravitational energy on the basis of 4index gravitational equations is proposed. It is shown that a local 4index tensor of the gravitational energymomentum can be expressed linearly in terms of the Riemann tensor. The gravitational energies for the generalized Schwarzschild sol ..."
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A new treatment of gravitational energy on the basis of 4index gravitational equations is proposed. It is shown that a local 4index tensor of the gravitational energymomentum can be expressed linearly in terms of the Riemann tensor. The gravitational energies for the generalized Schwarzschild
and Gravitation
"... The modern physical developments have required a mathematics that continually shifts its foundations. P.A.M. Dirac (1902–1984) Preface The theory presented in this book has four roots. The first lies in Dirac’s seminal paper of 1931 [1] in which he pointed out that Maxwell’s equations can accommoda ..."
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The modern physical developments have required a mathematics that continually shifts its foundations. P.A.M. Dirac (1902–1984) Preface The theory presented in this book has four roots. The first lies in Dirac’s seminal paper of 1931 [1] in which he pointed out that Maxwell’s equations can accommo
FourIndex Equations for Gravitation and the Gravitational EnergyMomentum Tensor ∗
, 1999
"... A new treatment of the gravitational energy on the basis of 4index gravitational equations is reviewed. The gravitational energy for the Schwarzschild field is considered. 1 ..."
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Cited by 3 (3 self)
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A new treatment of the gravitational energy on the basis of 4index gravitational equations is reviewed. The gravitational energy for the Schwarzschild field is considered. 1
Einstein, Hilbert and Equations of Gravitation
, 2005
"... • The history of the equations of gravitational field is of particular interest because they are related to two famous names: Albert Einstein and David Hilbert, and because the circumstances of their invention bear sometimes almost detective character. One of the early references is the book “Einste ..."
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• The history of the equations of gravitational field is of particular interest because they are related to two famous names: Albert Einstein and David Hilbert, and because the circumstances of their invention bear sometimes almost detective character. One of the early references is the book
Testing of MetricField Equations of Gravitation by Binary Pulsar
, 2002
"... Testing of the gravitation equations, proposed by one of the authors earlier, by a binary pulsar is considered. It has been shown that the formulas for the gravitation radiation of the system resulting from the equations do not contradict the available observations data 1 ..."
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Testing of the gravitation equations, proposed by one of the authors earlier, by a binary pulsar is considered. It has been shown that the formulas for the gravitation radiation of the system resulting from the equations do not contradict the available observations data 1
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