Abstracts Details

In this paper the Kepler’s third law is derived for circular orbits using the two different metrics. The resulting formulas are compared with the formula for the Kepler’s third law derived from the Newtonian physics. The derivation is using the Lagrange formalism, but comments are made on error in derivation that has appeared in previous publication. It is found that the Kepler’s third law derived using the Schwarzschild metric results in an identical formula obtained from the Newtonian physics of a flat spacetime geometry. This clearly illustrates a problem for the Schwarzschild metric and consequently for the General Relativity Theory.

In many publications and web forum discussions the claims are constantly being made that in order for the orbits of planets around the Sun to be stable the gravity must propagate at much higher speeds than the speed of light *c*. In this paper it is shown on a simple and extreme example of the two stars orbiting around each other in a circular orbit that this is not the case and that the assumption about the necessity for the large speed of gravity is unfounded. The explanation is based on the recognition that the Newton gravitational force has the two components that are not necessarily collinear. This new fundamental finding is supported by modeling the field by gravitons that mediate the force of the field. This model finally leads to the generalization of the Newton gravitational law that correctly accounts for the finite speed of gravity. From this result it is also found that the gravitational aberration angle is identical with the aberration angle of light, but is aiming in the opposite direction, lagging behind the source of the gravitational attraction.

The article analyses results of the transversal Fizeau experiment published in 2007 from the point of view of the metric theory of gravity. This experiment is one of the first clear cut experimental proofs of invalidity of the Schwarzschild metric and the GRT. The results of this experiment have, of course, been conveniently ignored by the main stream relativistic physicists and theoreticians.

Using a simple model this paper explains that there is no gravitomagnetic force contrary to a widely spread belief that such a force must exist. This is usually supported by the analogy with the Maxwell theory of Electromagnetic fields. The gravitomagnetic force, analogous to the force described by the Lorentz force equation, and the accompanied gravitoelectromagnetic field equations are derived from Einstein field equations by linearization for the weak gravitational fields. The nonexistence of the gravitomagnetic field thus questions the validity and correctness of Einstein field equations.

In this article it is shown that a new space-time metric can be derived from the hypothesis of locality, the assumption of local space isotropy, and the assumption of minimum energy stored in the gravitational field. The new coordinate space-time metric and the corresponding Christoffel symbols and Riemann, Ricci, and Einstein tensors are derived as functions of the physical rather than the coordi-nate distance, with different metric line elements defined for the physical and co-ordinate metrics. This leads to an extension of the coordinate space-time metric beyond the classical black-hole event horizon without any coordinate pathology at the Schwarzschild radius. The derived coordinate space-time metric is then used to obtain the formulas for the well-known four tests of general relativity the-ory: the perihelion advance, the gravitational redshift, the deflection of light by the Sun, and the Shapiro delay. The new formulas and the results they provide are then compared with the standard versions and it is found that excellent agreement with the most recent data and observations is obtained. Subtle differences from the standard formulas and observations are also discussed in detail. Finally, from the new metric it is also possible to derive Newton?s law of gravitation and draw several other interesting conclusions.

The paper discusses in detail the fundamental assumptions that are necessary for the derivation of special relativity theory and in particular for the derivation of Lorentz coordinate transformation. It is shown that the usual postulate of the constancy of speed of light is not needed. This is a generalization that is useful for studying the space-times with gravitational fields present in them, including the space-time of the Universe, since it is well known that the gravitational potential affects not only the clock rates but also the speed of light.

In this paper it is shown that the calculation of the light deflection in the field of a gravitating body does not follow the well know Fermat principle from optics. An ad hoc formula is typically used for calculations to obtain an agreement with observations, which does not have any correspondence to similar formulas anywhere in physics. The root cause of the problem is traced to the Schwarzschild metric, which does not describe the reality correctly. When a new metric is used the standard Fermat principle can be generalized and used leading to the results agreeing with observations and experiments.

In this article the resolution of the famous Ehrenfest paradox is presented. The paradox relates to a spinning disc and the Special Relativity Theory (SRT) applied to it. The resolution of the paradox is based on the proposition that the paradox results from an incorrect application of SRT to a system that is not in an inertial motion. The centrifugal and the centripetal forces resulting from the rotation are always present and need to be accounted for. Using the previously derived metric for an axially symmetrical space-time the effect of centrifugal and centripetal forces can be correctly included. When this is done no paradox is obtained and it is shown that the spinning disc has flat space-time geometry. The measured data from experiments conducted on such rotating systems are explained by the inertial mass increase as described by SRT

In this paper it is shown that the General Relativity Theory (GRT), which belongs to a class of Metric Theories of Gravity (MTG), is based on a wrong assumption, contradicts the well established laws of physics and also its own postulate. It is shown that in GRT the velocity of a massive body can exceed the speed of light and that the motion of a test body in an orbit around the centrally gravitating mass does not satisfy the conservation of angular momentum. Finally, it is shown that GR theory also violates the Gauss law. The proof rests on a comparison of the Schwarzschild metric, derived from Einstein's field equations, with a new metric from which the Schwarzschild metric can be also derived as a first order approximation but which is not derived from Einstein's field equations.

This paper is the first of two discussing the equivalence of inertial and gravitational masses and the accuracy of Einstein?s theory of gravity. The papers study the gravitational field near a spherically symmetric non-rotating massive body. This first part of the work studies the well-known Schwarzschild metric, which describes the space-time in the vicinity of such bodies, according to Einstein?s theory of gravity. The Schwarzschild metric is derived from first principles, and without the use of Einstein?s field equation. The basis for the derivation is a new mass equivalence principle derived as a consequence of thought experiments and Newton?s gravitational law.

This paper investigates the accuracy of Einstein?s theory of gravity by studying

the gravitational field near a spherically symmetric nonrotating massive body.

The well-known Schwarzschild metric, which describes the space-time in the vicinity

of such bodies, according to Einstein?s theory of gravity, is compared with

the new metric that is derived from first principles, without the use of Einstein?s

field equation. The basis for the derivation of the new metric is the new mass

equivalence principle derived as a consequence of thought experiments and a

slightly modified Newton?s gravitational law written with the proper time and the

proper distance. The new metric predictions are evaluated and compared for accuracy

with observations and with the predictions of the perihelion advance and the

gravitational redshift of the Schwarzschild metric. It is found that an excellent

agreement is obtained between the theory and observations and significant differences

from the predictions of the Schwarzschild metric are observed only in the vicinity

of the Schwarzschild radius. The new metric has no problems related to the

?black hole? geometry, has no coordinate pathologies, does not have the event horizon,

and does not have the now famous singularity in the center of the black hole.