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We consider an alternative formula for time delay in gravitational lensing. Imposing a smoothness condition on the gravitationally deformed paths followed by the photons from the source to the observer, we show that our formula displays the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

Studying the behaviour of a quantum field in a classical, curved, spacetime is an extraordinary task which nobody is able to take on at present time. Independently by the fact that such problem is not likely to be solved soon, still we…

General Relativity and Quantum Cosmology · Physics 2017-09-06 R. Di Criscienzo , L. Vanzo , S. Zerbini

We derive the gravitational Hamiltonian starting from the Gauss-Bonnet action, keeping track of all surface terms. This is done using the language of orthonormal frames and forms to keep things as tidy as possible. The surface terms in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Antonio Padilla

Teleparallel gravity shares many qualitative features with general relativity, but differs from it in the following way: whereas in general relativity, gravitation is a manifestation of space-time curvature, in teleparallel gravity,…

History and Philosophy of Physics · Physics 2024-06-25 James Owen Weatherall , Helen Meskhidze

We prove that the Thin Sandwich Conjecture in general relativity is valid, provided that the data $(g_{ab},\dot g_{ab})$ satisfy certain geometric conditions. These conditions define an open set in the class of possible data, but are not…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Robert Bartnik , Gyula Fodor

Several recent studies have been devoted to investigating the limitations that ordinary quantum mechanics and/or quantum gravity might impose on the measurability of space-time observables. These analyses are often confined to the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Giovanni Amelino-Camelia , John Stachel

Here we show how spacetime transformations consistent with the principle of relativity can be derived without an explicit assumption of the constancy of the speed of light, without gedanken experiments involving light rays, and without an…

Classical Physics · Physics 2010-05-13 Joel W. Gannett

Special relativity turns out to be more than coordinate transformations in which the constancy of the speed of light plays the central role between two inertial reference frames. Special relativity, in essence, is a theory of…

General Physics · Physics 2007-06-13 M. Sultan Parvez

We have investigated a cosmological model with variable speed of light (c), gravitational constant (G) and cosmological constant (Lambda). The model is shown to solve the horizon, flatness and monopole problems of the early universe. We…

Astrophysics · Physics 2007-05-23 Arbab I. Arbab

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…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Lorenzo Iorio , Bahram Mashhoon

We show how a suitably prepared set of clocks can be used to determine all components of the gravitational field in General Relativity. We call such an experimental setup a clock compass, in analogy to the usual gravitational compass.…

General Relativity and Quantum Cosmology · Physics 2018-07-26 Dirk Puetzfeld , Yuri N. Obukhov , Claus Lämmerzahl

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

General relativity predicts a "hyperfine" precession rate for a gyroscope moving in the gravitomagnetic field of a rotating massive body. The recently launched Gravity Probe B (GP-B) will test the predicted precession rate of 40.9…

General Physics · Physics 2007-05-23 Jacob Biemond

The main theoretical aspects of gravitomagnetism are reviewed. It is shown that the gravitomagnetic precession of a gyroscope is intimately connected with the special temporal structure around a rotating mass that is revealed by the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 B. Mashhoon , F. Gronwald , H. I. M. Lichtenegger

A novel class of Buchdahl-inspired metrics with closed-form expressions was recently obtained based on Buchdahl's seminal work on searching for static, spherically symmetric metrics in ${\cal R}^{2}$ gravity in vacuo. Buchdahl-inspired…

General Relativity and Quantum Cosmology · Physics 2024-04-01 Tao Zhu , Hoang Ky Nguyen , Mustapha Azreg-Aïnou , Mubasher Jamil

We study a flat spacetime with a compact spatial dimension and dispute the claim of Bansal, Laing, and Sriharan that a local experiment can determine whether or not an inertial observer is "privileged" in this spacetime.

General Relativity and Quantum Cosmology · Physics 2007-12-23 Shawn Westmoreland

We perform a full analytical and numerical treatment, to the first post-Newtonian (1pN) order, of the general relativistic long-term spin precession of an orbiting gyroscope due to the mass quadrupole moment $J_2$ of its primary without any…

General Relativity and Quantum Cosmology · Physics 2020-06-23 Lorenzo Iorio

We carry out a covariant calculation of the measurable relativistic effects in an orbiting gyroscope experiment. The experiment, currently known as Gravity Probe B, compares the spin directions of an array of spinning gyroscopes with the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Clifford M. Will

In [1], the authors have studied stability of certain causal properties of space-times in general relativity. As a continuation of this work, in the present paper, we review and discuss, some more aspects of stability which occur in various…

General Relativity and Quantum Cosmology · Physics 2017-09-14 R V Saraykar , Sujatha Janardhan

This paper presents a high-precision gravitational redshift test using the China Space Station (CSS) Laser Time Transfer (CLT) system. We develop a comprehensive observation equation based on a c^{-3} order relativistic model for…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Rui Xu , Wenbin Shen , Hok Sum Fok , Pengfei Zhang , Lihong Li , Lei Wang , Kuangchao Wu , An Ning , Youchao Xie , Ziyu Shen , Lingxuan Wang , Yongqi Zhao , Kai Liu , Yuanjin Pan