General relativity theory

Recall that the Higgs mechanism depends on local gauge symmetry, which is only defined within general relativity theory. 

The problem of rotation of neutron stars in the framework of General Relativity Theory was solved before the discovery of pulsars and the important contribution of the Armenian scientists in this work is well documented. With all... 

During my undergraduate years, 1935-1939, in Honors Mathematics and Physics at the University of Toronto, increasingly, I became interested in mathematical physics, picking up some elementary quantum mechanics and relativity. My first encounter with Einstein s general relativity theory (GRT) was in the substantial treatise of Levi-Civita on differential geometry, which ends with a 150-page introduction to GRT. This is a beautiful theory, which I presented in lectures from 1950 in Toronto because it had become the dominant orthodoxy everyone should know ... 

Is the gravitational field able, in principle, to produce real, tangible particles in a void, or in the terms of general relativity theory, in curved space-time ... 

A similar circumstance arises in general relativity theory when the equations of motion are derived from an action integral that is formally identical to (10). In that case, the system is closed by specifying the arbitrary time parameter to be the proper time, so that... 

Of course, nxn tensors of rank 2 can be defined for dimensions n > 3 They occur frequently in four-dimensional special and general relativity theories. 

Rubidium and cesium are used in very accurate clocks. These clocks have been used to test phenomena predicted by general relativity theory, to investigate changes in the frequencies of pulsars, to track missiles and satellites, and to maintain the extremely accurate time-keeping required by global positioning systems. 

Geocentric model based on religious beliefs, but explains observed phenomena. Careful observations (Brahe, 9 planets eventually Kepler) point to discovered. Discovery of Heliocentric Model first Neptune confirms Newton s suggested by Copernicus. theory of universal Telescope confirms model. gravitation. Anomaly in orbit of Mercury resists solution with Newton s laws. Precession of Mercury s orbit is solved by Einstein s Theory of General Relativity. Theory and observations agree. Pluto is demoted to non-planet status (4). 

Other radii that could be considered are those related to the space-time curvature in general relativity theory. If the electron is viewed as a micro-universe with a rest mass mo uniformly distributed within a 3D sphere of radius rc, then the space-time inside the electron would be endowed with a Gaussian 2D curvature increasing with the mass-energy density po, according to the formula [18,19]... 

Another point of view is to consider the space-time curvature induced by the rest mass mo of the electron outside a volume of radius rq. According to general relativity theory, the curvature radius Rg around the electron would be given by [18,19] ... 

These are only qualitative considerations. The problem of combining a spherical motion approaching light velocity [20-22] with a linear motion of increasing speed is very complex indeed and requires the mathematical formalism of general relativity theory. This will be the subject of further work. 

Due to the connection between spin motion and inertial mass revealed by the Dirac equation, and to the equivalence between inertial and gravitational masses implied by general relativity theory, there is a deep (though not yet very clear)... 

Vladimir A. Fock (1898-1974), Russian physicist, professor at Leningrad University (Saint Petersburg), led investigations on quantum mechanics, gravity theory, general relativity theory, and in 1930. while explaining atomic spectra, invented the antisymmetrizaHon of the spinorbitals product. 

Jeans instability Instability in a cloud of gas in space due to fluctuations in the density of the gas, causing the matter in the cloud to clump together and lead to gravitational collapse. The conditions under which this occurs were worked out by Sir James Hopwood Jeans (1877-1946) in terms of Newtonian gravity. The analogous analysis of this problem using general relativity theory is the basis of the theory of structure formation. 

Lense-Thirring effect An effect predicted to occur in general relativity theory by J. Lense and Hans Thirring in 1918 in which a compact rotating body causes the space near it to rotate in the same direction. The phenomenon is also known as frame dr ng. It has been reported in observations of neutron stars and black holes. Measurements have also been made using shifts in the orbits of satellites around the earth. 

The question of the world invariance was discussed since Einstein who believed the Universe to be invariable and static. But in 1917, having applied his general relativity theory to cosmology, Einstein unexpectedly found that the cosmological model created by him did not confirm the eternity, invariance, and static character of the Universe. To save his ideas of the static character and invariance of the Universe,... 

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