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In present work we examine the implications on both, space-time measures and causal structure, of a generalization of the local causality postulate by asserting its validity to all motion regimes, the subluminal and superluminal ones. The…

General Relativity and Quantum Cosmology · Physics 2016-08-11 Benjamín Calvo-Mozo

Two theorems related to gravitational time delay are proven. Both theorems apply to spacetimes satisfying the null energy condition and the null generic condition. The first theorem states that if the spacetime is null geodesically…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sijie Gao , Robert M. Wald

In almost all of the studies devoted to the time delay and the frequency shift of light, the calculations are based on the integration of the null geodesic equations. However, the above-mentioned effects can be calculated without…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Pierre Teyssandier , Christophe Le Poncin-Lafitte , Bernard Linet

Using a new general approach to limits in optical structures that counts orthogonal waves generated by scattering, we derive an upper limit to the number of bits of delay possible in one-dimensional slow light structures that are based on…

Optics · Physics 2013-02-08 David A. B. Miller

This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. We notice that the…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

The Wigner-Smith (WS) time delay matrix relates an electromagnetic system's scattering matrix and its frequency derivative. Previous work showed that the entries of WS time delay matrices of systems excited by propagating waves consist of…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yiqian Mao , Utkarsh R. Patel , Eric Michielssen

This paper is a generalization of earlier papers [Nucl. Phys. B 884, 344 (2014) (arXiv:1312.2759) and JHEP 6, 63 (2015) (arXiv:1401.2488)]. We generalize the idea of quantum clock time to quantum spacetime reference frame via physical…

General Relativity and Quantum Cosmology · Physics 2018-03-20 M. J. Luo

The general parametrization for spacetimes of spherically symmetric Lorentzian, traversable wormholes in an arbitrary metric theory of gravity is presented. The parametrization is similar in spirit to the post-Newtonian parametrized…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Kirill A. Bronnikov , Roman A. Konoplya , Thomas D. Pappas

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

This research focuses on scalar field cosmologies with a generalized harmonic potential. Our attention is centred on the anisotropic LRS Bianchi I and III metrics, Bianchi V metrics, and their isotropic limits. We provide a comprehensive…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Alfredo D. Millano , Genly Leon

Time delays in strong gravitational lensing systems possess significant complementarity with distance measurements to determine the dark energy equation of state, as well as the matter density and Hubble constant. Time delays are most…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-04 Eric V. Linder

Via constructing an asymptotic coupling by reflection, in this paper we establish uniform-in-time estimates on probability distances for mean-field type SDEs, where the drift terms under consideration are dissipative merely in the long…

Probability · Mathematics 2024-09-26 Jianhai Bao , Jiaqing Hao

We present a complete analysis of the light rays within the linearized, weak-field approximation of a Schwarzschild-like metric describing the gravitational field of an isolated, spherically symmetric body. We prove in this context the…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Bernard Linet , Pierre Teyssandier

Self-similar spacetimes are of importance to cosmology and to gravitational collapse problems. We show that self-similarity or the existence of a homothetic Killing vector field for spherically symmetric spacetimes implies the separability…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sanjay M. Wagh , Keshlan S. Govinder

We investigate two general relativistic effects - namely, the Shirokov and Shapiro effects - within the framework of the Zipoy-Voorhees spacetime ($q$-metric), which generalizes the Schwarzschild solution by incorporating a quadrupole…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Daniya Utepova , Kuantay Boshkayev , Serzhan Momynov , Anuar Idrissov , Gulzada Baimbetova , Hernando Quevedo , Ainur Urazalina

With the advent of gravitational wave astronomy and first pictures of the "shadow" of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Christian Pfeifer , Sebastian Schuster

We analyze strong gravitational lensing by a spherically symmetric mass distribution within the Einstein-Straus-de Sitter framework in a spatially open Universe with negative curvature ($k = -1$). Applying the theory to the lensed quasar…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Mourad Guenouche

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

General Physics · Physics 2012-08-31 Giovanni Zanella

A partially alternative derivation of the expression for the time dilation effect in a uniform static gravitational field is obtained by means of a thought experiment in which rates of clocks at rest at different heights are compared using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marco Alberici

The deflection angle $\Delta\phi$ of charged signals in general charged spacetime in the strong field limit is analyzed in this work using a perturbative method generalized from the neutral signal case. The solved $\Delta\phi$ naturally…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Shangjie Zhou , Muchun Chen , Junji Jia