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A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et.al. Using higher-order geodesic deviation…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Mohaddese Heydari-Fard , Malihe Heydari-Fard , Hamid Reza Sepangi

The {\Lambda}CDM model has long served as a robust and predictive framework for cosmology, successfully explaining a wide range of observations, including the accelerated expansion of the Universe. However, discrepancies in cosmological…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Indranil Chakraborty , Susmita Jana , S. Shankaranarayanan

For the newly proposed coupled (but equivalent) Lagrangians for the supersymmetric (SUSY) system of a one (0 + 1)-dimensional spinning relativistic particle, we derive the Noether conserved charges corresponding to its (super)gauge,…

High Energy Physics - Theory · Physics 2013-08-23 S. Krishna , D. Shukla , R. P. Malik

We investigate the Einstein vacuum equations as well as the Einstein-null fluid equations describing neutrino radiation. We find new structures in gravitational waves and memory for asymptotically-flat spacetimes of slow decay. These…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Lydia Bieri

In the first paper in this series, we introduced "persistent gravitational wave observables" as a framework for generalizing the gravitational wave memory effect. These observables are nonlocal in time and nonzero in the presence of…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Éanna É. Flanagan , Alexander M. Grant , Abraham I. Harte , David A. Nichols

Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form $H^2\times M(1,1)$ and $S^2\times M(1,1)$.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Indranil Chakraborty , Sayan Kar

We present several results on memory effects, asymptotic symmetry and soft theorems in massive QED. We first clarify in what sense the memory effects are interpreted as the charge conservation of the large gauge transformations, and derive…

High Energy Physics - Theory · Physics 2018-08-15 Hayato Hirai , Sotaro Sugishita

After recalling the differential geometry of non-metric connections in the formalism of differential forms, we introduce the idea of a Non-Metricity (NM) connection, whose connection $1$--forms coincides with the non-metricity $1$--forms…

General Relativity and Quantum Cosmology · Physics 2020-09-04 Igor Mol

We present the first numerical relativity waveforms for binary black hole mergers produced using spectral methods that show both the displacement and the spin memory effects. Explicitly, we use the SXS Collaboration's $\texttt{SpEC}$ code…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Keefe Mitman , Jordan Moxon , Mark A. Scheel , Saul A. Teukolsky , Michael Boyle , Nils Deppe , Lawrence E. Kidder , William Throwe

In addition to the dominant oscillatory gravitational wave signals produced during binary inspirals, a non-oscillatory component arises from the nonlinear "memory" effect, sourced by the emitted gravitational radiation. The memory grows…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Denis Pollney , Christian Reisswig

The violation of the Noether relation between symmetries and charges is reduced to the time dependence of the charge associated to a conserved current. For the U(1) gauge symmetry a non-perturbative control of the charge commutators is…

Mathematical Physics · Physics 2008-11-26 G. Morchio , F. Strocchi

We argue that soft gravitational radiation leads to a misidentification of the angular momentum of stars seen in distant galaxies, and that this could be interpreted as an additional mass inside the orbit of the star. It is tempting to…

High Energy Physics - Theory · Physics 2018-10-16 Tom Banks , Willy Fischler

We summarise recent perspectives on symmetries of noncommutative field theories based on homotopy algebras. We show how these viewpoints naturally lead to a new class of noncommutative field theories which possess braided gauge symmetries,…

High Energy Physics - Theory · Physics 2022-04-01 Richard J. Szabo

We reconsider the problem of gravitational structure formation inside and outside General Relativity (GR), both in the weakly and strongly non-linear regime. We show how these regimes can be explored observationally through clustering of…

Astrophysics · Physics 2009-10-31 Enrique Gaztanaga , Alberto Lobo

This paper aims to investigate the astrophysical applicability of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov (Ann. Phys. Berlin 2017, 529, 170073).…

General Relativity and Quantum Cosmology · Physics 2020-02-18 O. Gurtug , M. Mangut

The intrinsic metric symmetries for energy-momentum in warped space-time universally reinforce strict spatial flatness in the GR metric formalism. The passive/active energy-charge for the 1686, 1913, and 1915 gravitational laws maintains…

Mathematical Physics · Physics 2008-05-13 Igor Bulyzhenkov

We discuss a modified gravity model which fits cosmological observations at a level statistically indistinguishable from $\Lambda$CDM and at the same time predicts very large deviations from General Relativity (GR) in the propagation of…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-27 Enis Belgacem , Yves Dirian , Andreas Finke , Stefano Foffa , Michele Maggiore

The relative geodesic motion on $(1+3)$-dimensional anti-de Sitter spacetimes is studied in terms of conserved quantities by adapting the Nachtmann boosting method created initially for the de Sitter spacetimes. In this approach the…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Ion I. Cotaescu

The leading order corrections to Reissner--Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been…

High Energy Physics - Theory · Physics 2008-11-26 Pradip Mukherjee , Anirban Saha

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Plamen P. Fiziev