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[Abridged] This review surveys the theory of gravitational self-force in curved spacetime and its application to the gravitational two-body problem in the extreme-mass-ratio regime. We first lay the relevant formal foundation, describing…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Leor Barack , Adam Pound

We comment on the methods and the conclusion of Ref. [1], "Does gravitational confinement sustain flat galactic rotation curves without dark matter?" The article employs two methods to investigate whether non-perturbative corrections from…

General Relativity and Quantum Cosmology · Physics 2023-06-05 A. Deur

We discuss the circumstances under which gravity might be repulsive rather than attractive. In particular we show why our standard solar system distance scale gravitational intuition need not be a reliable guide to the behavior of…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Philip D. Mannheim

Einstein's special theory of relativity revolutionized physics by teaching us that space and time are not separate entities, but join as ``spacetime''. His general theory of relativity further taught us that spacetime is not just a stage on…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eanna E. Flanagan , Scott A. Hughes

We present a new measurement of the Lense-Thirring effect on the orbits of the geodetic satellites LAGEOS, LAGEOS II and LARES. This secular precession is a general relativity effect produced by the gravitomagnetic field of the Earth…

General Relativity and Quantum Cosmology · Physics 2019-10-07 David M. Lucchesi , Massimo Visco , Roberto Peron , Massimo Bassan , Giuseppe Pucacco , Carmen Pardini , Luciano Anselmo , Carmelo Magnafico

Modified gravity is often approached in the context of effective-field theory (EFT), with the view that the EFT corrections permit a more desirable theory. In this paper, we posit that this should extend to the causal structure of curved…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Bum-Hoon Lee , Nils A. Nilsson , Somyadip Thakur

Space-time--time is a natural hybrid of Kaluza's five-dimensional geometry and Weyl's conformal space-time geometry. Translations along the secondary time dimension produce the electromagnetic gauge transformations of Kaluza--Klein theory…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

The geodetic and frame-dragging effects are the direct consequences of the spacetime curvature near Earth which can be probed from the Gravity probe B (GP-B) satellite. The satellite result matches quite well with Einstein's general…

High Energy Physics - Phenomenology · Physics 2022-11-23 Tanmay Kumar Poddar

Due to the accuracy now reached by space geodetic techniques, and also considering some modelisations, the temporal variations of some Earth Gravity Field coefficients can be determined. They are due to Earth oceanic and solid tides, as…

Astrophysics · Physics 2007-11-29 G. Bourda , N. Capitaine

According to some authors, gravity might be an emergent phenomenon in a fundamentally flat space-time. In this case the speed of light in the vacuum would not coincide exactly with the basic parameter "c" entering Lorentz transformations…

General Relativity and Quantum Cosmology · Physics 2013-11-19 M. Consoli , A. Pluchino

We present a novel test of general relativity (GR): measuring the geometric component of the time delay due to gravitational lensing. GR predicts that photons and gravitational waves follow the same geodesic paths and thus experience the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-19 David Rubin , Istvan Szapudi , Benjamin J. Shappee , Gagandeep S. Anand

The effects of several dark energy models on gravitational time delay of particles with non-zero mass are investigated and analytical expressions for the same are obtained at the first order accuracy. Also the expression for gravitational…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Tamal Sarkar , Shubhrangshu Ghosh , Arunava Bhadra

General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Miguel A. Martin-Delgado

Swimming in curved spacetimes is a phenomenon whereby free bodies in curved spacetimes are able to propel themselves by performing cyclic internal motions. When originally proposed, it was further suggested that, in the limit of fast…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Rodrigo Andrade e Silva

We propose the metric for general rotating spacetimes. These spacetimes are stationary, axially symmetric and spatially asymptotically flat. They can be the spacetimes outside of rotating black holes or rotating celestial bodies such as the…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Changjun Gao

Recent measurements of the propagation of the quasar's radio signal past Jupiter are directly sensitive to the time-dependent effect from the geometric sector of general relativity which is proportional to the speed of propagation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important…

General Relativity and Quantum Cosmology · Physics 2009-12-01 Leonid V. Verozub

We analyze the weak-field limit of General Relativity with matter and its possible quantisations. This analysis aims towards a predictive quantum theory to provide a first-principles description of gravitational effects in macroscopic…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Charis Anastopoulos , Mihalis Lagouvardos , Konstantina Savvidou

The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. R. Iyer , C. V. Vishveshwara

Using a general relativistic exact model for spherical structures in a cosmological background, we have put forward an algorithm to calculate the test particle geodesics within such cosmological structures in order to obtain the velocity…

General Relativity and Quantum Cosmology · Physics 2016-11-26 Mohammadhosein Razbin , Javad T. Firouzjaee , Reza Mansouri