We describe a new analytic approach to the problem of black-hole oscillations, which has been investigated numerically thus far. Our treatment is based on connection between quasinormal modes and bound states inverted effective potentials. Approximate formulas for frequencies Schwarzschild, Reissner-Nordstr\"om, slowly rotating Kerr black holes are provided. find that real frequency an extreme hole vanishing amplitude in ordinary (i.e., nonsuperradiant) regime; therefore, not marginally...

The physical basis for the description of phenomena by a rotating observer is investigated. A simple, yet tentative, extension hypothesis locality used to determine interference phase shift induced rotation neutron interferometer. result consists Sagnac term, which due coupling orbital angular momentum with frame, and new term arises from similar because spin. latter effect generally smaller than ratio de Broglie wavelength dimension possibility detecting briefly discussed.

The stability of the exterior Kerr-Newman spacetime to high-frequency perturbations is investigated. complex frequencies associated with oscillations a charged rotating black hole are determined for perturbation angular momentum parameters j=\ensuremath{\Vert}m\ensuremath{\Vert}\ensuremath{\gg}1. results extended j\ensuremath{\ge}\ensuremath{\Vert}m\ensuremath{\Vert}\ensuremath{\gg}1 slowly holes. These modes indicate that geometry stable in eikonal approximation.

A new analytic method for the determination of quasinormal oscillations a black hole is presented. It based on connection between modes and bound states inverted black-hole potentials. With use this method, frequencies Schwarzschild, Reissner-Nordstr\"om, slowly rotating Kerr are determined in eikonal approximation, Moreover, we provide evidence stability an extreme hole.

The problem of propagation electromagnetic waves in a gravitational field can be reduced to the wave material medium flat space-time. This method is used here calculate scattering cross section Schwarzschild black hole and polarization scattered wave. It shown that (as measured at infinity) not affected by presence spherically symmetric hole. light from rotating or "live" is, however, expected polarized for an incident unpolarized plane may offer new way detect live

The propagation of light in the gravitational field self-gravitating spinning bodies moving with arbitrary velocities is discussed. assumed to be ``weak'' everywhere. equations motion a ray are solved first post-Minkowskian approximation which linear respect universal constant G. We do not restrict ourselves lens so that solution geodesics applicable for locations source and observer. This formalism applied studying corrections Shapiro time delay binary pulsars caused by rotation pulsar its...

A nonlocal generalization of Einstein's theory gravitation is constructed within the framework translational gauge gravity. In linear approximation, can be interpreted as linearized general relativity but in presence "dark matter" that simply expressed an integral transform matter. It shown this approach accommodate Tohline-Kuhn treatment astrophysical evidence for dark

The analogy between electrodynamics and the translational gauge theory of gravity is employed in this paper to develop an ansatz for a nonlocal generalization Einstein's gravitation. Working linear approximation, we show that resulting equivalent general relativity with "dark matter". nature predicted matter", which manifestation character our model, briefly discussed. It demonstrated approach can provide basis Tohline-Kuhn treatment astrophysical evidence dark matter.

The existence of a general helicity-rotation coupling is demonstrated for electromagnetic waves propagating in the field slowly rotating body and G\"odel universe. This leads to differential focusing circularly polarized radiation by gravitational which detectable rapidly collapsed body. perturbations their frequency spectrum are given frequencies bounded from below characteristic rotation If universe were rotating, effect would be extremely small due present upper limit on anisotropy...

view Abstract Citations (66) References (19) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On tidal phenomena in a strong gravitational field. Mashhoon, B. A simple framework based on the concept of quadrupole potential is presented for calculation deformation an extended test body This method used to study behavior initially faraway nonrotating spherical that moves close Schwarzschild or extreme Kerr black hole. In general, moving external field emits...

The gravitational couplings of intrinsic spin are briefly reviewed. A consequence the Dirac equation in exterior field a rotating mass is considered detail, namely, difference energy spin-½ particle polarized vertically up and down near surface body ℏΩsin θ. Here θ latitude Ω = 2GJ/(c2R3), where J R are, respectively, angular momentum radius body. It seems that this relativistic quantum effect could be measurable foreseeable future.

The relativistic corrections to the Newtonian tidal accelerations generated by a rotating system are studied. possibility of testing theory gravitation measuring such effects in laboratory orbit around Earth is considered. A recent proposal measure rotation-dependent acceleration as an alternative Stanford gyroscope experiment critically examined and it shown that does not circumvent basic difficulties associated with experiment.

The Newtonian regime of a recent nonlocal extension general relativity (GR) is investigated. Nonlocality introduced via scalar "constitutive" kernel in special case the translational gauge theory gravitation, namely, teleparallel equivalent GR. In this theory, aspect gravity simulates dark matter. A and nonlinear generalization Poisson's equation gravitation presented. implications nonlocality for gravitational physics solar system are briefly studied.

view Abstract Citations (80) References (15) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Tidal radiation. Mashhoon, B. The general theory of tides is developed within the framework Einstein's gravitation. It based on concept Fermi frame and associated notion tidal along an open curve in spacetime. Following previous work author approximate scheme for evaluation gravitational radiation presented which valid weak fields. emission from a body field black...

Papapetrou's covariant equations of motion for a spinning particle in gravitational field are discussed. The the spin at rest outside rotating mass derived using Kerr metric. It is shown that Schiff's formula mass-current effect follows from these lowest approximation.

A classical nonlocal generalization of Einstein's theory gravitation has recently been developed via the introduction a scalar causal ``constitutive'' kernel that must ultimately be determined from observational data. It turns out aspect gravity in this can simulate dark matter; indeed, Newtonian regime gravity, we recover phenomenological Tohline-Kuhn approach to modified gravity. simple Kuhn context general relativity leads two-parameter force law involves an additional repulsive...