Cosmological constraints on the graviton mass in RTG

The Friedmann cosmological scenario in RTG (without inflation) is considered. The joint maximum-likelihood analysis of data on type Ia supernovae, the shift parameter of microwave radiation, and baryon acoustic oscillations from the Sloan catalogue of red galaxies provided tight fit constraints on the graviton mass and the space curvature in GR. It is demonstrated that the confidence interval for the graviton mass extends indefinitely if the quintessence parameter tends to zero. These conclusions are valid if the present scale factor a ₀ >(2)^?1/6= 0.89. At a ₀ <(2)^?1/6, a tight constraint on the graviton mass was derived from these observational data: m < 10^–83 g. This implies that terms with the graviton mass may be neglected (with the exception of solutions of the black-hole type) in the gravitational field equations in a broad range of redshifts (0 < z < 10¹⁵).     

Physical nature of the Kerr-Newman gravitational field in the relativistic theory of gravitation

Scientific-Research Institute of Nuclear Physics at the Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 83, No. 3, pp. 470–475, June, 1990.     

Causality Principle for a Reissner–Nordstrom Field in the RTG: The Small-Charge Case q2≤m2

We analyze the validity of the causality principle for the external electrovac solution generated by a static spherically symmetric and electrically charged body in the relativistic theory of gravity with a vanishing graviton mass, i.e., the Reissner–Nordstrom solution. We show that this principle restricts values of the constant in the external solution and also sets a lower bound for the source radius. We demonstrate that the external field of superdense star configurations satisfies the causality principle.     

The equivalence principle

For the example of the motion of an accelerated charge it is shown that an inertial frame of reference in which there is a homogeneous static gravitational field with strength g is physically inequivalent to a uniformly accelerated frame of reference moving with acceleration-g with respect to the inertial frame of reference. It follows from this that the equivalence principle does not hold in the usual formulation. The widely held opinion that such a principle is the basis of the general theory of relativity is not entirely correct. Einstein's theory of gravitation is based on an equivalence principle of a deeper content, which takes the form that the metric fieldg of a Riemannian space is declared to be a gravitational field. Such is the natural formulation of the equivalence principle at which Einstein subsequently arrived.Institute of High Energy Physics; Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 1, pp. 121–140, April, 1994.     

The relativistic theory of gravitation based on a space of constant curvature

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 86, No. 2, pp. 163–176, February, 1991.     

Causality principle in the relativistic theory of gravitation

Institute of High Energy Physics, Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 88, No. 3, pp. 459–466, September, 1991.     

Direct observation of self-similarity in evolution of transient stimulated Raman scattering in gas-filled photonic crystal fibers

A unique characteristic of transient stimulated Raman scattering, in which the spatiotemporal evolution of the fields and the molecular excitation follow a universal self-similarity law, is observed in gas-filled photonic crystal fibers. As the input laser power is increased, the coupled system "optical fields + molecular excitation" goes through the same phases of time evolution but at a higher rate. Using the self-similarity law we are able to completely reconstruct the evolution of the pump and Stokes fields from one measurement.