Relativistic motions
A physical consequence of a well-known Fermi's theorem: no motion of masses can generate gravitational waves.
arXiv subjects
Publications and source records attributed to A. Loinger.
A physical consequence of a well-known Fermi's theorem: no motion of masses can generate gravitational waves.
In Dirac's fine-structure formula for the hydrogenlike atoms a critical role is played by the square root of the following expression: the unity minus the square of the product of the atomic number by the fine-structure constant (which is approximately equal to 1/137). Indeed, for a fictitious, ideal nucleus for which the above product is greater than or equal to one, the mentioned square root becomes imaginary, or zero. I prove in this Note that the origin of such theoretical "breaking down" is quite simple and is inherent in the special theory of relativity of classical physics.
A good candidate to the role of passive gravitational mass of a Schwarzschild's incompressible sphere is represented by the substantielle Masse of the sphere, which is larger than the active gravitational mass. Presumably this inequality has a general validity, i.e. it is not limited to the homogeneous spheres of incompressible fluids.
The observational "black holes" are quite different objects from the theoretical black holes.
A quite evident and radical argument proves that no motion of masses can generate gravitational waves.
Two arguments which show the validity of the concept of gravitational energy put forward by Lorentz and Levi-Civita.
Through an analysis and a generalization of a profound Fock's treatment, I make conspicuous the physically essential role of those functions of the polar radial coordinate for which the expressions of the spacetime interval are everywhere regular for all values of the above coordinate.
If we move at the same speed of a spatially limited train of an undulating metric tensor, a famous Serini's theorem will assure us that this train represents actually a flat spacetime region.
A proof that the generation of gravitational waves is physically impossible.
The undulating metric tensors of general relativity do not possess a special and common velocity of propagation. Indeed, their velocity can even coincide with the speed of thought.
The correct characterization of the concept of mass point in general relativity is a straightforward consequence of the original form of solution given by Schwarzschild to the problem of the Einstein field of a material point.
A rigorous, non-perturbative proof that there is no radiation damping of gravitational motions.
There are reference frames for which both stars of binary radio-pulsar PSR1913+16 are at rest. As a consequence, PSR1913+16 does not emit gravity waves. (If the accelerated bodies should send out a gravitational radiation, they would represent a class of physically privileged systems. But this is forbidden by general relativity.)
According to a widespread idee fixe, the spherically-symmetric collapse of a sufficiently massive celestial body of spherical shape should generate a black hole. I prove that this process generates simply an ordinary point mass. My argument is model-independent.
Simple changes of the radial co-ordinate deprive Kerr's spinning corpuscle of its marvellous properties.
The modern apparatuses for the detection of the gravity waves are devised with the purpose to exploit the geodesic deviation generated by them. But the pseudo energy-momentum of these waves cannot exert any physical action on the apparatuses.
Undulatory field functions represent a real wave only if there exists a class of infinite reference systems for which an identical wave is described by the same functional forms.
The Einstein gravitational field of a material point at rest is derived anew - by a suitable limit process - from the field of a sphere of a homogeneous and incompressible fluid. This result supports clearly the thesis according to which the physically interesting singularities must correspond to the presence of matter in loco.