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In this paper, a Lagrangian perturbation theory for the second order treatment of small disturbances of the event horizon in Schwarzchild black holes is introduced. The issue of gauge invariance in the context of general relativistic theory…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Nahid Ahmadi

An extension of the theory of General Relativity is proposed, based on pseudo-complex space-time coordinates. The new theory corresponds to the introduction of two, in general different, metrics which are connected through specific…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Peter O. Hess , Walter Greiner

Gravitational redshift as a relativistic effect in cosmological objects is investigated. Possible signatures of the gravitational redshift in measurements of satellite galaxies in clusters of galaxies, intracluster gas, as well as galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-21 Daiki Sakuma , Ayumu Terukina , Kazuhiro Yamamoto , Chiaki Hikage

The description of relativistic effects requires a preliminary definition of events localised in space-time while the clocks used for time definition and the fields used in synchronisation or localisation procedures are necessarily quantum…

Quantum Physics · Physics 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

We clarify the subtle issue of finding the correct mapping of Newtonian simulations to light-cone observables at very large distance scales. A faithful general-relativistic interpretation specifies a gauge, i.e. a chart that relates the…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-17 Julian Adamek , Christian Fidler

In recent years new types of coordinate transformations have appeared in cosmology on top of the standard gauge transformations, such as the dilatations and special conformal transformations, or the ones leading to (conformal) Fermi…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-18 Ermis Mitsou , Jaiyul Yoo

Light rays from a multiply imaged quasar usually sample different path lengths across the deflector. Extinction in the lensing galaxy may thus lead to a differential obscuration and reddening between the observed macro-lensed QSO images.…

Astrophysics · Physics 2007-05-23 C. Jean , J. Surdej

Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into gauge-invariant and gauge-variant…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Kouji Nakamura

We present a coherent theoretical framework for computing gravitational lensing effects and redshift-space distortions in an inhomogeneous universe and investigate their impacts on galaxy two-point statistics. Adopting the linearized FRW…

Astrophysics · Physics 2009-11-13 Jaiyul Yoo

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

Gravitational self-force theory is the primary way of modelling extreme-mass-ratio inspirals (EMRIs). One difficulty that appears in second-order self-force calculations is the strong divergence at the worldline of the small object, which…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Samuel D. Upton

Linear and nonlinear optical effect has been widely discussed in large quantity of materials using theoretical or experimental methods. Except linear optical conductivity, higher-order nonlinear responses are not studied fully. Starting…

Materials Science · Physics 2025-08-12 Maoyuan Wang , Jianhui Zhou , Yugui Yao

Late-time cosmic acceleration has motivated the exploration of various extensions of general relativity, among which $f(Q,\mathcal{T})$ gravity, based on the non-metricity scalar $Q$ and the trace of the energy--momentum tensor…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Anirudh Pradhan , A. Husain , M. Zeyauddin , S. H. Shekh

We explore how the gravitational self force (or ``radiation reaction'' force), acting on a pointlike test particle in curved spacetime, is modified in a gauge transformation. We derive the general transformation law, describing the change…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

We postulate the applicability of the general form-invariance principle in special relativity. It is shown that this principle holds in classical mechanics. Some examples of transformations between the reference frames which satisfy this…

General Physics · Physics 2011-08-18 Vitaliy Voytik

The optical conductivity is the basic defining property of materials characterizing the current response toward time-dependent electric fields. In this work, following the approach of Kubo's response theory, we study the general properties…

Statistical Mechanics · Physics 2020-10-20 Haruki Watanabe , Yankang Liu , Masaki Oshikawa

The generalized second law is proven for rapidly-evolving semiclassical Rindler horizons at each instant of time, for arbitrary interacting quantum fields minimally coupled to general relativity. The proof requires the background spacetime…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Aron C. Wall

There is currently no rigorous definition of gravitational wave strain at second order in cosmological perturbation theory. The usual association of gravitational waves with transverse and traceless fluctuations of the metric on spatial…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Guillem Domènech , Shi Pi , Ao Wang

It is well known that magnetic force between two current carrying conductors is a relativistic manifestation of net electrostatic force between relatively moving electrons & protons of the two wires. On similar grounds but with more…

General Physics · Physics 2007-05-23 R. C. Gupta