Two problems of theory of gravitation

2009

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important issue that lead to a substantial revision of the theory are considered : 1. The significance of relativity of space-time geometry with respect to measuring instruments for theory of gravitation. 2. The gauge transformations of the field variables in correct theory of gravitation.

Eprint Arxiv 0805 2688, 2008

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 role of gauge transformations of the variables in differential equations of gravitational field. We consider here in short a gauge-invariant bimetric generalisation of the Einstein equations which does not contradict availabel observation data. Physical interpretation of the bimetricity based on relativity of space-time with respect to used reference frame, following conceptually from old Poincaré fundamental ideas, is proposed..

Arxiv preprint arXiv:1108.0612, 2011

In this paper we consider a thought experiment involving the effect of gravitation on an ideal scale containing a photon. If the tidal forces inherent to a gravitational field are neglected, then one is led to scenario which seems to bring about perpetual motion violating the first and second principle of thermodynamics. The tidal effects of gravity must neccessarily be included in order to obtain a consistent physical theory. As a result, Albert Einstein's thought experiments according to which the physical effects of inertia in an accelerated reference frame are equivalent to the effects of gravity in a frame at rest on the surface of a massive body must be reconsidered, since linearly accelerated frames do not produce tidal effects. We argue that the equivalence between inertial effects and gravitation can be restored for rotating frames and in this context a relation with the possible nature of quantum gravity is conjectured.

General Relativity and Gravitation, 2012

Since its final version and publication in 1916, it is widely reported in several specialized textbooks and research articles that General Relativity theory reduces to Newton's theory of gravity in the limit of a weak gravitational field and slowly moving material bodies. In the present paper, the so-called reducibility of Einstein's geodesic and field equations, to Newton's equation of motion and Poisson's gravitational potential equation, respectively, is scrutinized and proven to be mathematically, physically and dimensionally incorrect, and that the geometrization of gravity is unnecessary.

Contents 1. Special Relativity 2. Oblique Axes 3. Curvilinear Coordinates 4. Nontensors 5. Curved Space 6. Parallel Displacement 7. Christoffel Symbols 8. Geodesics 9. The Stationary Property of Geodesics 10. Covariant Differentiation 11. The Curvature Tensor 12. The Condition for Flat Space 13. The Bianci Relations 14. The Ricci Tensor 15. Einstein's Law of Gravitation 16. The Newtonian Approximation 17. The Gravitational Red Shift 18. The Schwarzchild Solution 19. Black Holes 20. Tensor Densities 21. Gauss and Stokes Theorems 22. Harmonic Coordinates 23. The Electromagnetic Field 24. Modification of the Einstein Equations by the Presence of Matter 25. The Material Energy Tensor 26. The Gravitational Action Principle 27. The Action for a Continuous Distribution of Matter 28. The Action for the Electromagnetic Field

2008

It is demonstrated herein that:-1. The quantity 'r' appearing in the so-called "Schwarzschild solution" is neither a distance nor a geodesic radius in the manifold but is in fact the inverse square root of the Gaussian curvature of the spatial section and does not generally determine the geodesic radial distance (the proper radius) from the arbitrary point at the centre of the spherically symmetric metric manifold. 2. The Theory of Relativity forbids the existence of point-mass singularities because they imply infinite energies (or equivalently, that a material body can acquire the speed of light in vacuo); 3. Ric = R µν = 0 violates Einstein's 'Principle of Equivalence' and so does not describe Einstein's gravitational field; 4. Einstein's conceptions of the conservation and localisation of gravitational energy are invalid; 5. The concepts of black holes and their interactions are ill-conceived; 6. The FRW line-element actually implies an open, infinite Universe in both time and space, thereby invalidating the Big Bang cosmology.

1984

The Tenth International Conference on General Relativity and Gravitation (GR10) was held from July 3 to July 8, 1983, in Padova, Italy. These Conferences take place every three years, under the auspices of the International Society on General Relativity and Gravitation, with the purpose of assessing the current research in the field, critically discussing the prog ress made and disclosing the points of paramount im portance which deserve further investigations. The Conference was attended by about 750 scientists active in the various subfields in which the current research on gravitation and general relativity is ar ticulated, and more than 450 communications were sub mitted. In order to fully exploit this great occur rence of experience and creative capacity, and to pro mote individual contributions to the collective know ledge, the Conference was given a structure of work shops on the most active topics and of general sessions in which the Conference was addressed by invited speak...

There are a number of conceptual anomalies occurring in the Standard exposition of Einstein's Theory of Relativity. These anomalies relate to issues in both mathematics and in physics and penetrate to the very heart of Einstein's theory. This paper reveals and amplifies a few such anomalies, including the fact that Einstein's field equations for the so-called static vacuum configuration, R = 0, violates his Principle of Equivalence, and is therefore erroneous. This has a direct bearing on the usual concept of conservation of energy for the gravitational field and the conventional formulation for localisation of energy using Einstein's pseudo-tensor. Misconceptions as to the relationship between Minkowski spacetime and Special Relativity are also discussed, along with their relationships to the pseudo-Riemannian metric manifold of Einstein's gravitational field, and their fundamental geometric structures pertaining to spherical symmetry.