Sergei M Kopeikin | University of Missouri Columbia (original) (raw)
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Papers by Sergei M Kopeikin
A new gauge-invariant approach for describing cosmological perturbations is developed. It is base... more A new gauge-invariant approach for describing cosmological perturbations is developed. It is based on a physically motivated splitting of the stress-energy tensor of the perturbation into two parts — the bare perturbation and the complementary perturbation associated with stresses in the background gravitational field induced by the introduction of the bare perturbation. The complementary perturbation of the stress-energy tensor is explicitly singled out and taken to the left side of the perturbed Einstein equations so that the bare stress-energy tensor is the sole source for the perturbation of the metric tensor and both sides of these equations are gauge invariant with respect to infinitesimal coordinate transformations. For simplicity we analyze the perturbations of the spatially-flat Friedmann-Lemâıtre-Robertson-Walker (FLRW) dust model. A cosmological gauge can be chosen such that the equations for the perturbations of the metric tensor are completely decoupled for the h00, h0i...
The Astrophysical Journal, 2009
Advances in Space Research, 2016
The European Physical Journal Plus, 2019
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Laser ranging has had a long and significant role in testing general relativity and it continues ... more Laser ranging has had a long and significant role in testing general relativity and it continues to make advance in this field. It is important to understand the relation of the laser ranging to other branches of fundamental gravitational physics and their mutual interaction. The talk overviews the basic theoretical principles underlying experimental tests of general relativity and the recent major achievements in this field.
Measurement Techniques, 2015
The effect of irregularities in the earth’s rotation (precession and nutation of the earth’s axis... more The effect of irregularities in the earth’s rotation (precession and nutation of the earth’s axis of rotation, oscillations in the modulus of the angular velocity, periodic deviations in the line of the poles, and the angular momentum of the globe) on the frequency and time of high-stability atomic clocks are examined in terms of the theory of relativity. It is shown that the relative shift in frequency and time owing to these effects can exceed 5·10–16.
A new gauge-invariant approach for describing cosmological perturbations is developed. It is base... more A new gauge-invariant approach for describing cosmological perturbations is developed. It is based on a physically motivated splitting of the stress-energy tensor of the perturbation into two parts — the bare perturbation and the complementary perturbation associated with stresses in the background gravitational field induced by the introduction of the bare perturbation. The complementary perturbation of the stress-energy tensor is explicitly singled out and taken to the left side of the perturbed Einstein equations so that the bare stress-energy tensor is the sole source for the perturbation of the metric tensor and both sides of these equations are gauge invariant with respect to infinitesimal coordinate transformations. For simplicity we analyze the perturbations of the spatially-flat Friedmann-Lemâıtre-Robertson-Walker (FLRW) dust model. A cosmological gauge can be chosen such that the equations for the perturbations of the metric tensor are completely decoupled for the h00, h0i...
The Astrophysical Journal, 2009
Advances in Space Research, 2016
The European Physical Journal Plus, 2019
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Relativistic Celestial Mechanics of the Solar System, 2011
Laser ranging has had a long and significant role in testing general relativity and it continues ... more Laser ranging has had a long and significant role in testing general relativity and it continues to make advance in this field. It is important to understand the relation of the laser ranging to other branches of fundamental gravitational physics and their mutual interaction. The talk overviews the basic theoretical principles underlying experimental tests of general relativity and the recent major achievements in this field.
Measurement Techniques, 2015
The effect of irregularities in the earth’s rotation (precession and nutation of the earth’s axis... more The effect of irregularities in the earth’s rotation (precession and nutation of the earth’s axis of rotation, oscillations in the modulus of the angular velocity, periodic deviations in the line of the poles, and the angular momentum of the globe) on the frequency and time of high-stability atomic clocks are examined in terms of the theory of relativity. It is shown that the relative shift in frequency and time owing to these effects can exceed 5·10–16.