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This paper focuses on rotational phenomena of rigid body kinematics. It discusses them in a group-theoretic approach as completely as possible, using methods and notations as intuitive as possible. With a review of current literature, this…

Classical Physics · Physics 2025-12-10 Ziyuan Wang

As has been shown before (a brief comment will be given in the text), relativistic mass and relativistic time dilation of moving bodies are equivalent as well as time and mass in the rest frame. This implies that the time dilation due to…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

The stability of binary orbits can significantly shape the gravity wave signal which future Earth-based interferometers hope to detect. The inner most stable circular orbit has been of interest as it marks the transition from the late…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Janna Levin , Rachel O'Reilly , E. J. Copeland

Relativity, time reversal invariance in mechanics and principle of causality can be in the bases of a type of vibration of the extensive objects. It is because, the detailed analysis of the relativistic movement of an extensive body entail…

General Physics · Physics 2007-05-23 Enrique Oradaz Romay

The increasing interest in compact astrophysical objects (neutron stars, binaries, galactic black holes) has stimulated the search for rigorous methods, which allow a systematic general relativistic description of such objects. This paper…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Neugebauer , R. Meinel

We study a general relativistic particle action obtained by incorporating the Hamiltonian constraints into the formalism as a toy model for general relativity and string theory. We show how a non-vanishing cosmological constant and a…

High Energy Physics - Theory · Physics 2007-05-23 W. F. Chagas-Filho

We investigate light propagation in self-gravitating systems composed of an axially symmetric, stationary, rotating dust fluid. These configurations are intrinsically relativistic, sustained entirely by their rotation, since no compact or…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Matteo Luca Ruggiero , Davide Astesiano

Quasi-Riemannian theories of gravity have smaller gauge groups acting on the tangent spacetime than the full Lorentz group. Among others, the spatial rotation group can be gauged to obtain spacetime asymmetric gravity with general…

High Energy Physics - Theory · Physics 2009-04-24 K. -I. Izawa

A simple and {\it innocent} modification of Poisson's equation leads to a modified Newtonnian theory of gravitation where a localized and {\it positive} energy density of the gravitational field contributes to its own source. The result is…

Classical Physics · Physics 2009-05-17 Lluis Bel

Recent experiments on ultra slow light in strongly dispersive media by several research groups reporting slowing down of the optical pulses down to speeds of a few metres per second encourage us to examine the intriguing possibility of…

Optics · Physics 2007-12-27 N. Kumar

We review the achievements of the theory of polarization bremsstrahlung of relativistic particles, including the case when both colliders have internal structure. The main features which the relativistic effects bring into the problem are…

Atomic Physics · Physics 2007-05-23 A. V. Korol , A. V. Solov'yov

The general relativistic description of galaxy clustering provides a complete and unified treatment of all the effects in galaxy clustering such as the redshift-space distortion, gravitational lensing, Sachs-Wolfe effects, and their…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Jaiyul Yoo

We study the motion of a secondary celestial body under the influence of the corrected gravitational force of a primary. We study the effect of quantum and relativistic corrections to the gravitational potential of a primary body acting on…

General Physics · Physics 2015-07-19 Ioannis Haranas , Omiros Ragos , Ioannis Gkigkitzis , Ilias Kotsireas

Our recent results concerning the transformation under isometries of the conserved quantities on de Sitter manifolds, allow us to define the rest frame and study the relative geodesic motion in terms of conserved momentum, revealing thus…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Ion I. Cotaescu

We consider the question of determining the optical drift effects in general relativity, i.e. the rate of change of the apparent position, redshift, Jacobi matrix, angular distance and luminosity distance of a distant object as registered…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Mikołaj Korzyński , Jarosław Kopiński

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kohkichi Konno , Masumi Kasai

The photoeffect, (vacuum analogue of the photoelectric effect,) is used to study the structure of the physical vacuum, the outcome of which is the basis for an hypothesis on the nature of gravitation and inertia. The source of gravitation…

General Physics · Physics 2007-05-23 A. V. Rykov

In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its "veiled" versions where the metric is conformally related to the original one and hence is…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Nathalie Deruelle , Misao Sasaki

We investigate and solve in the context of General Relativity the apparent paradox which appears when bodies floating in a background fluid are set in relativistic motion. Suppose some macroscopic body, say, a submarine designed to lie just…

General Relativity and Quantum Cosmology · Physics 2009-11-10 George E. A. Matsas

It is now possible to partially deflect gravitation away from an object so that the gravitational attraction on the object is reduced. That effect makes it possible to extract energy from the gravitational field, which makes the generation…

General Relativity and Quantum Cosmology · Physics 2013-06-11 Roger Ellman