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In this paper we present a new approach to tidal theory. Assuming a Maxwell viscoelastic rheology, we compute the instantaneous deformation of celestial bodies using a differential equation for the gravity field coefficients. This method…

Earth and Planetary Astrophysics · Physics 2014-11-19 Alexandre C. M. Correia , Gwenaël Boué , Jacques Laskar , Adrián Rodríguez

We identify a fundamental tension between the standard formulation of CP violation and diffeomorphism invariance in general relativity. The effective Hamiltonian approach, while phenomenologically successful, relies on a preferred time…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Alibordi Muhammad

We examine current numerical relativity computations of gravitational waves, which typically determine the asymptotic waves at infinity by extrapolation from finite (small) radii. Using simulations of a black hole binary with accurate wave…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Denis Pollney , Christian Reisswig , Nils Dorband , Erik Schnetter , Peter Diener

We study the semiclassical quantization of Poincar\'e maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl upper bound for the number of resonances/scattering poles in…

Analysis of PDEs · Mathematics 2011-05-17 Stéphane Nonnenmacher , Johannes Sjoestrand , Maciej Zworski

We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes. Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dietmar Klemm

In this paper, we consider some causality violating solutions in the curvature-squared gravity in order to examine whether closed timelike curves (CTCs) are allowed in these models. These aspects are studied in terms of the G\"odel,…

General Relativity and Quantum Cosmology · Physics 2026-05-13 J. C. R. de Souza , A. F. Santos , R. Bufalo

The new manifestation of conformal invariance for a massless scalar particle in a Riemannian spacetime of general relativity is found. Conformal transformations conserve the Hamiltonian and wave function in the Foldy-Wouthuysen…

Mathematical Physics · Physics 2013-08-07 Alexander J. Silenko

The spherically symmetric thin shells are the nearest generalizations of the point-like particles. Moreover, they serve as the simple sources of the gravitational fields both in General Relativity and much more complex quadratic gravity…

General Relativity and Quantum Cosmology · Physics 2018-12-17 Victor Berezin , Vyacheslav Dokuchaev , Yury Eroshenko

We study the gravitational collapse in five-dimensional de Sitter (dS) spacetime and discuss the existence of the conformal boundaries at future timelike infinity from the perspective of the dS/CFT correspondence. We investigate the motion…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yukinori Iwashita , Hirotaka Yoshino , Tetsuya Shiromizu

We show that for general relativity in odd spacetime dimensions greater than 4, all components of the unphysical Weyl tensor for arbitrary smooth, compact spatial support perturbations of Minkowski spacetime fail to be smooth at null…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stefan Hollands , Robert M. Wald

A general treatment of vorticity-free, perfect fluid perturbations of Kantowski-Sachs models with a positive cosmological constant are considered within the framework of the 1+1+2 covariant decomposition of spacetime. The dynamics is…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Zoltán Keresztes , Mats Forsberg , Michael Bradley , Peter K. S. Dunsby , László Á. Gergely

We carry on a systematic study of the physical properties of axially symmetric fluid distributions, which appear to be geodesic, shear--free, irrotational, non--dissipative and purely electric, for the comoving congruence of observers, from…

General Relativity and Quantum Cosmology · Physics 2018-07-04 L. Herrera , A. Di Prisco , J. Carot

We introduce a novel approach for detecting gravitational waves through their influence on the shape of resolved astronomical objects. This method, complementary to pulsar timing arrays and astrometric techniques, explores the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-22 Giorgio Mentasti , Carlo R. Contaldi

We present a systematic calculation of the current jet production semi-inclusive deeply inelastic scattering process at the Electron-Ion Collider energy. Contributions from weak interactions are considered which give rise to parity…

High Energy Physics - Phenomenology · Physics 2020-07-14 Kai-bao Chen , Wei-hua Yang

In this paper, we examine a static gravitational field with axial symmetry over probe particles in the solar system. Using the Weyl conformastatic solution as a model, we find a non-standard expression to perihelion advance due to the…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Abraao J. S. Capistrano , Waldir L. Roque , Rafael S. Valada

A class of vector-tensor theories arises naturally in the framework of quadratic gravity in spacetimes with linear vector distortion. Requiring the absence of ghosts for the vector field imposes an interesting condition on the allowed…

High Energy Physics - Theory · Physics 2016-05-04 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi S. Koivisto

In 1973 two Salam prot\'{e}g\'{e}s (Derek Capper and the author) discovered that the conformal invariance under Weyl rescalings of the metric tensor $g_{\mu\nu}(x)\rightarrow\Omega^2(x)g_{\mu\nu}(x)$ displayed by classical massless field…

High Energy Physics - Theory · Physics 2010-04-06 M. J. Duff

We examine the effect that the magnetic part of the Weyl tensor has on the large-scale expansion of space. This is done within the context of a class of cosmological models that contain regularly arranged discrete masses, rather than a…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Timothy Clifton , Daniele Gregoris , Kjell Rosquist

Superrotations are local extensions of the Lorentz group at null infinity that have been argued to be symmetries of gravitational scattering. In their smooth version, they can be identified with the group of diffeomorphisms on the celestial…

General Relativity and Quantum Cosmology · Physics 2024-08-26 Miguel Campiglia , Adarsh Sudhakar

We present a characterization of general gravitational and electromagnetic fields near de Sitter-like conformal infinity which supplements the standard peeling behavior. This is based on an explicit evaluation of the dependence of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pavel Krtous , Jiri Podolsky , Jiri Bicak