Generation of static solutions of a self-consistent system of Einstein-Klein-Gordon equations

A theorem is proved according to which a class of static solutions of a self-consistent system of Einstein-Klein-Gordon equations dependent on one arbitrary function is set in correspondence with a static solution of the Einstein equations with any given energy-momentum tensor Tij. Two particular cases are examined as an illustration of this theorem. Methods of constructing the static solutions of a system of Einstein-Klein-Gordon equations with an ideal fluid energy-momentum tensor and a massive scalar field are indicated therein. © 1989 Plenum Publishing Corporation

Generation of static solutions of the self-consistent system of Einstein-Maxwell equations

A theorem is proved, according to which to each solution of the Einstein equations with an arbitrary momentum-energy tensor in the right hand side there corresponds a static solution of the self-consistent system of Einstein-Maxwell equations. As a consequence of this theorem, a method is established of generating static solutions of the self-consistent system of Einstein-Maxwell equations with a charged grain as a source of vacuum solutions of the Einstein equations. © 1988 Plenum Publishing Corporation

The possibility of checking the equivalence principle in a null gravitational redshift experiment by a two-resonator laser system

A scheme of an optical detector is proposed for checking Einstein's equivalence principle (EEP) in a null gravitational redshift experiment and for testing methods for calculating the length of a resonator in a weak variable gravitational field by recording the variations of the difference frequency of resonators caused by lunisolar variations of the geopotential in a double or a two-resonator laser system. © Pleiades Publishing, Inc., 2006

Test of local position invariance using a double-cavity laser system

The results of testing local position invariance, which is a constituent of the Einstein equivalence principle, in a "null" gravitational redshift experiment are reported. The processing of the experimental data collected during the five-month operation of a double-c avity laser system, where one cavity operates in the free generation mode and the frequency of the second cavity is stabilized with the nonlinear ultranarrow absorption resonance of the methane molecule, has confirmed the universality of the gravitational redshift law at a level of 0.9%. This result almost doubly improves the best existing accuracy (1.7%) of testing local position invariance for clocks of different physical natures. © 2010 Pleiades Publishing, Ltd

First-level Dulkyn gravitational wave detector

The functional-block diagram of the Dulkyn gravitational wave detector is described. © 2009 Springer Science+Business Media, Inc

Test of local position invariance using a double-cavity laser system

The results of testing local position invariance, which is a constituent of the Einstein equivalence principle, in a "null" gravitational redshift experiment are reported. The processing of the experimental data collected during the five-month operation of a double-c avity laser system, where one cavity operates in the free generation mode and the frequency of the second cavity is stabilized with the nonlinear ultranarrow absorption resonance of the methane molecule, has confirmed the universality of the gravitational redshift law at a level of 0.9%. This result almost doubly improves the best existing accuracy (1.7%) of testing local position invariance for clocks of different physical natures. © 2010 Pleiades Publishing, Ltd

Test of local position invariance at the detector "Dulkyn-1"

We present the results of testing local position invariance in a "null" gravitational red-shift experiment, carried out in the framework of the Research and Engineering Project "Dulkyn." The experimental data, collected during the five-month operation of a double-cavity laser system, where one cavity operated in the free generation mode while the frequency of the second cavity was stabilized by the nonlinear supernarrow absorption resonance of the methane molecule, confirmed the universality of the gravitational redshift law at a level of 0.9%. © 2011 Pleiades Publishing, Ltd