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Review of the Gravitomagnetic Clock Effect

ANNALEN DER PHYSIK 2024年第5期536卷 2300466-2300466页

作者： Iorio, Lorenzo Mashhoon, Bahram Minist Istruz & Merito Viale Unita Italia 68 I-70125 Bari BA Italy Univ Missouri Dept Phys & Astron Columbia MO 65211 USA Inst Res Fundamental Sci IPM Sch Astron Tehran 193955531 Iran

The general relativistic gravitomagnetic clock effect, in its simplest form, consists of the non-vanishing difference in the orbital periods of two counter-orbiting objects moving in opposite directions along circular orbits lying in the equatorial plane of a central rotating source. Both the theoretical and observational aspects of such an intriguing consequence of Einstein's theory of gravitation are reviewed. To the first post-Newtonian order, if two test particles revolve in opposite directions about a massive spinning body along two circular and equatorial orbits with the same radius r, they take different times to return to the reference direction relative to which their motion is measured: it is the so-called gravitomagnetic clock effect, which is reviewed ***

关键词： classical general relativity experimental studies of gravity experimental tests of gravitational theories fundamental problems and general formalism satellite orbits

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Gravitational radiation from an accelerating massive particle in general relativity

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INTERNATIONAL JOURNAL OF MODERN PHYSICS D 2025年第3期34卷

作者： Hogan, Peter A. Puetzfeld, Dirk Univ Coll Dublin Sch Phys Dublin Ireland Univ Bremen Ctr Appl Space Technol & Micrograv ZARM D-28359 Bremen Germany

A comprehensive description is given of a spacetime model of an accelerating massive particle. The particle radiates gravitational waves with optical shear. The wave fronts are smoothly deformed spheres and the particle experiences radiation reaction, similar to an accelerating charged particle, and a loss of mass described by a Bondi mass-loss formula. The spacetime is one of the Bondi-Sachs forms but presented in a form here which is particularly suited to the construction of the model particle. All details of the calculations are given. A detailed examination of the gravitational field of the particle is provided which illustrates the presence of gravitational radiation and also exhibits, in the form of a type of singularity found in some Robinson-Trautman spacetimes, the absence of an external field to supply energy to the particle.

关键词： Classical general relativity gravitational waves fundamental problems and general formalism

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Plane-fronted electromagnetic waves and an asymptotic limit of Liénard-Wiechert fields

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INTERNATIONAL JOURNAL OF MODERN PHYSICS D 2024年第2期33卷 2450009-2450009页

作者： Hogan, Peter A. Puetzfeld, Dirk Univ Coll Dublin Sch Phys Dublin 4 Ireland Rheumatol D-28359 Goslar Germany

Colliding or noncolliding plane-fronted electromagnetic or gravitational waves are the asymptotic limit of Robinson-Trautman spherical electromagnetic or gravitational waves. Noncolliding plane-fronted waves contain no information about their sources whereas colliding waves contain information about possibly the motion of their sources. As a first step to investigate the latter phenomenon, we construct an asymptotic limit of Lienard-Wiechert electromagnetic fields in the context of Minkowskian spacetime. This has the advantage that the source is well known and the calculations can be carried out in full detail. The final result is an algebraically general Maxwell field which consists of colliding plane-fronted waves in a subregion of Minkowskian spacetime and an interesting byproduct is a novel perspective on a Maxwell field originally discovered by Bateman.

关键词： Classical general relativity exact solutions fundamental problems and general formalism

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Attenuated Gravitational Radiation

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BRAZILIAN JOURNAL OF PHYSICS 2022年第6期52卷 1-8页

作者： Giardino, Sergio Univ Fed Rio Grande Sul UFRGS Dept Matemat Pura & Aplicada Caixa Postal 15080 BR-91501970 Porto Alegre RS Brazil

The hypothesis of an alternative way of obtaining gravitational waves is the physical motivation of this article. Using the linear field approximation and a symmetry transformation of the affine connection, new field equations and new gauge conditions have been obtained. Solutions to these field equations have been considered in the empty space and in the wave zone, and in both of them the oscillation amplitudes of their solutions are attenuated exponentially. We expect that these solutions can be useful for building more sophisticated gravitational wave models, and also as an impulse for researching further symmetry transformations of general relativity.

关键词： Modified theories of gravity Classical general relativity fundamental problems and general formalism Gravitational waves

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The matter Lagrangian of a non-perfect fluid

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INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 2024年第5期21卷

作者： Mendoza, Sergio Silva, Sarahi Univ Nacl Autonoma Mexico Inst Astron Ciudad UnivAP 70-264 Mexico City 04510 Mexico

We show that the matter Lagrangian of a non-perfect fluid takes the negative or positive value of the total energy density of the fluid, which is composed of the rest plus internal energy densities. The ambiguity of t... 详细信息

关键词： general relativity and gravitation fundamental problems and general formalism canonical formalism Lagrangian and variational principles

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The post-Newtonian motion around an oblate spheroid: the mixed orbital effects due to the Newtonian oblateness and the post-Newtonian mass monopole accelerations

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general RELATIVITY AND GRAVITATION 2023年第12期55卷 136-136页

作者： Iorio, Lorenzo Minist Istruz & Merito Viale Unita Italia 68 I-70125 Bari BA Italy

When a test particle moves about an oblate spheroid, it is acted upon, among other things, by two standard perturbing accelerations. One, of Newtonian origin, is due to the quadrupole mass moment J(2) of the orbited body. The other one, of order O(1/c(2)), is caused by the static, post-Newtonian field arising solely from themass of the central object. Both of themconcur to induce indirect, mixed orbital effects of order O(J(2)/c(2)). They are of the same order of magnitude of the direct ones induced by the post-Newtonian acceleration arising in presence of an oblate source, not treated here. We calculate these less known features of motion in their full generality in terms of the osculating Keplerian orbital elements. Subtleties pertaining the correct calculation of their mixed net precessions per orbit to the full order of O(J(2)/c(2)). are elucidated. The obtained results hold for arbitrary orbital geometries and for any orientation of the body's spin axis (K$) over bar in space. The method presented is completely general, and can be extended to any pair of post-Keplerian accelerations entering the equations of motion of the satellite, irrespectively of their physical nature.

关键词： Classical general relativity fundamental problems and general formalism Experimental studies of gravity Experimental tests of gravitational theories Satellite orbits

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Neutrino fields in a sandwich gravitational wave background

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CLASSICAL AND QUANTUM GRAVITY 2022年第22期39卷 225018-225018页

作者： Dereli, Tekin Gurtug, Ozay Halilsoy, Mustafa Senikoglu, Yorgo Maltepe Univ Fac Engn & Nat Sci Dept Basic Sci TR-34857 Istanbul Turkey Koc Univ Phys TR-34450 Istanbul Turkey Eastern Mediterranean Univ Fac Arts & Sci Dept Phys Via Mersin 10 Famagusta North Cyprus Turkey

Sandwich gravitational waves are given globally in terms of step functions at the boundaries. Linearized Einstein-Weyl equations are solved exactly in this background in Rosen coordinates. Depending on the geometry and composition of the sandwich wave, the neutrino's energy-momentum redistributes itself. At the test field level, since the background will not change, the neutrino's energy density in particular will show variations between positive and negative extrema when crossing the sandwich wave. This may reveal facts about the weakly interacting neutrinos in cosmology.

关键词： gravitational waves fundamental problems and general formalism classical general relativity

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Centrifugally driven relativistic particles: general treatment and new solutions

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general RELATIVITY AND GRAVITATION 2020年第5期52卷 1-11页

作者： Khomeriki, Giorgi Rogava, Andria Ilia State Univ Ctr Theoret Astrophys ITP Tbilisi 0162 Georgia Tbilisi State Univ Phys Dept 3 Chavchavadze Tbilisi 0128 Georgia Vekua Sch Phys & Math 9 Tchaikovsky Tbilisi 0105 Georgia

Dynamics of a centrifugally driven particle moving along a magnetically prescribed trajectory (e.g. pulsar magnetic field line) in a spacetime of a rotating massive body is considered. We do assume that the particle is on a zero Landau level and is not losing energy via synchrotron or any other kind of radiation. Based on this model we further study in detail the zero-gravity limit, reconsider the "straight field-line" gedanken experiment case (Machabeli and Rogava in Phys Rev A 50:98, 1994) in the "bead-on-the-wire" approximation and find previously overlooked exact analytic solutions for the most general set of initial values. We analyze different regimes of a particle dynamics, classifying them in their relation with specific initial conditions. We conclude by indicating further directions of the study and discussing possible areas of astrophysical applications.

关键词： Special relativity fundamental problems and general formalism Classical general relativity Relativity and gravitation Pulsars

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The matter Lagrangian of an ideal fluid

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INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 2021年第4期18卷

作者： Mendoza, Sergio Silva, Sarahi Univ Nacl Autonoma Mexico Inst Astron AP 70-264 Ciudad De Mexico 04510 Mexico

We show that the matter Lagrangian of an ideal fluid equals (up to a sign depending on its definition and on the chosen signature of the metric) the total energy density of the fluid, i.e. rest energy density plus int... 详细信息

关键词： general relativity and gravitation fundamental problems and general formalism Lagrangians and variational principles

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A field theory in Randers-Finsler spacetime

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EPL 2021年第2期133卷

作者： Silva, J. E. G. Univ Fed Cariri UFCA Ave Tenente Raimundo Rocha BR-63048080 Juazeiro Do Norte Ceara Brazil

Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violation. The directional dependence of the Finsler metric provides a way to encode the Lorentz-violating effects into the geometric structure of the spacetime. Here, a classical field theory is proposed in a special Finsler geometry, the so-called Randers-Finsler spacetime, where the Lorentz violation is produced by a background vector field. By promoting the Randers-Finsler metric to a differential operator, a Finsler-invariant action for the scalar, gauge and fermions are proposed. The theory contains nonlocal terms, as in the Very Special Relativity based theories. By expanding the Lagrangian, minimal and nonminimal Standard Model Extension terms arise, revealing a perturbative Lorentz violation. For a CPT-even term, the Carrol-Field-Jackiw and derivative extensions are obtained. Copyright (C) 2021 EPLA

关键词： Lorentz and Poincaré invariance fundamental problems and general formalism Other special classical field theories

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