Browsing Physics and Astronomy publications (MU) by Identifier "0264-9381"
Now showing items 1-20 of 24
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An alternative derivation of the gravitomagnetic clock effect
(American Institute of Physics, 2001)The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges ... -
Chaos in the Kepler system
(American Institute of Physics, 1999)The long-term dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to ... -
Circular holonomy and clock effects in stationary axisymmetric spacetimes
(American Institute of Physics, 2001)Stationary axisymmetric spacetimes containing a pair of oppositely rotating periodically intersecting circular geodesics allow us to study the various so-called 'clock effects' by comparing either observer or geodesic ... -
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
(American Institute of Physics, 1997)The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ... -
Gauge-dependent cosmological 'constant'
(American Institute of Physics, 2004)When the cosmological constant of spacetime is derived from the 5D induced-matter theory of gravity, we show that a simple gauge transformation changes it to a variable measure of the vacuum which is infinite at the big ... -
The generalized Jacobi equation
(American Institute of Physics, 2002)The Jacobi equation in pseudo-Riemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into ... -
Gravitational couplings of intrinsic spin
(American Institute of Physics, 2000)The gravitational couplings of intrinsic spin are briefly reviewed. A consequence of the Dirac equation in the exterior gravitational field of a rotating mass is considered in detail, namely, the difference in the energy ... -
Gravitational induction
(Institute of Physics, 2008)We study the linear post-Newtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GEM and electrodynamics. Notwithstanding ... -
Gravitational ionization: a chaotic net in the Kepler system
(American Institute of Physics, 1997)The long-term nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary ... -
Gravitomagnetism and relative observer clock effects
(American Institute of Physics, 2000)The gravitomagnetic clock effect and the Sagnac effect for circularly rotating orbits in stationary axisymmetric spacetimes are studied from a relative observer point of view, clarifying their relationships and the roles ... -
Gravitomagnetism in the Kerr-Newman-Taub-NUT spacetime
(American Institute of Physics, 2003)We study the motion of test particles and electromagnetic waves in the Kerr-Newman-Taub-NUT spacetime in order to elucidate some of the effects associated with the gravitomagnetic monopole moment of the source. In particular, ... -
Holonomy and gravitomagnetism
(American Institute of Physics, 2002)We analyse parallel transport of a vector field around an equatorial orbit in the Kerr and stationary axisymmetric spacetimes that are reflection symmetric about their equatorial planes. As in the Schwarzschild spacetime, ... -
On a class of rotating gravitational waves
(American Institute of Physics, 2000)A class of solutions of the gravitational field equations describing vacuum spacetimes outside rotating cylindrical sources is presented. The spacetime metric for this class is given by equation (35); to render this metric ... -
On the gravitoelectromagnetic stress-energy tensor
(American Institute of Physics, 1999)We study the pseudo-local gravitoelectromagnetic stress-energy tensor for an arbitrary gravitational field within the framework of general relativity. It is shown that there exists a current of gravitational energy around ... -
On the spectrum of oscillations of a Schwarzschild black hole
(American Institute of Physics, 1996)The spectral properties of the resonant oscillations of a Schwarzschild black hole are studied. The analogy with the Coulomb wave equation is developed, and it is shown that the high-overtone quasi-normal modes are intimately ... -
Significance of c /sqrt2 in relativistic physics
(American Institute of Physics, 2004)In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation ... -
Spin, acceleration and gravity
(American Institute of Physics, 2004)The massless field perturbations of the accelerating Minkowski and Schwarzschild spacetimes are studied. The results are extended to the propagation of the Proca field in Rindler spacetime. We examine critically the ... -
Spinning particles in the vacuum C metric
(Institute of Physics, 2005)The motion of a spinning test particle given by the Mathisson-Papapetrou equations is studied on an exterior vacuum C metric background spacetime describing the accelerated motion of a spherically symmetric gravitational ... -
Standard clocks, orbital precession and the cosmological constant
(American Institute of Physics, 2003)We discuss the influence of the cosmological constant on the gravitomagnetic clock effect and the gravitational time delay of electromagnetic rays. Moreover, we consider the relative motion of a binary system to linear ... -
Tidal dynamics in cosmological spacetimes
(Institute of Physics, 2007)We study the relative motion of nearby free test particles in cosmological spacetimes, such as the FLRW and LTB models. In particular, the influence of spatial inhomogeneities on local tidal accelerations is investigated ...