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The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

We consider the effects of Weyl geometry on the propagation of electromagnetic waves and on the gravitational spin Hall effect of light. It is usually assumed that in vacuum the electromagnetic waves propagate along null geodesics, a result…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Marius A. Oancea , Tiberiu Harko

We propose a new non-trivial way to combine mimetic dark matter with the mimetic formulation of unimodular gravity. This yields a Weyl-invariant higher-derivative scalar-vector-tensor theory. We demonstrate that on-shell its behavior mimics…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Pavel Jiroušek , Keigo Shimada , Alexander Vikman , Masahide Yamaguchi

We study the equivalence principle and its violations by quantum effects in scalar-tensor theories that admit a conformal frame in which matter only couples to the spacetime metric. These theories possess Ward identities that guarantee the…

High Energy Physics - Theory · Physics 2013-05-30 Cristian Armendariz-Picon , Riccardo Penco

Weyl fermions are hypothetical chiral particles that can also manifest as excitations near three-dimensional band crossing points in lattice systems. These quasiparticles are subject to the Nielsen-Ninomiya "no-go" theorem when placed on a…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 André Grossi Fonseca , Sachin Vaidya , Thomas Christensen , Mikael C. Rechtsman , Taylor L. Hughes , Marin Soljačić

An infinite class of analytic AdS_7 x S^3 solutions has recently been found. The S^3 is distorted into a "crescent roll" shape by the presence of D8-branes. These solutions are conjectured to be dual to a class of "linear quivers", with a…

High Energy Physics - Theory · Physics 2016-09-29 Stefano Cremonesi , Alessandro Tomasiello

Many topologically non-trivial systems have been recently realized using electromagnetic, acoustic, and other classical wave-based platforms. As the simplest class of three-dimensional topological systems, Weyl semimetals have attracted…

Optics · Physics 2020-07-22 Kunal Shastri , Francesco Monticone

We introduce the new algebraic property of Weyl compatibility for symmetric tensors and vectors. It is strictly related to Riemann compatibility, which generalizes the Codazzi condition while preserving much of its geometric implications.…

Mathematical Physics · Physics 2016-03-10 Carlo A. Mantica , Luca G. Molinari

We present a detailed methodology for extracting the full set of Newman-Penrose Weyl scalars from numerically generated spacetimes without requiring a tetrad that is completely orthonormal or perfectly aligned to the principal null…

General Relativity and Quantum Cosmology · Physics 2021-01-25 Dante A. B. Iozzo , Michael Boyle , Nils Deppe , Jordan Moxon , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

A bilinear form on a possibly graded vector space $V$ defines a graded Poisson structure on its graded symmetric algebra together with a star product quantizing it. This gives a model for the Weyl algebra in an algebraic framework, only…

Quantum Algebra · Mathematics 2013-06-14 Stefan Waldmann

The cosmological propagation of tensor perturbations is studied in the context of parity-violating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Aindriú Conroy , Tomi Koivisto

Pulsar timing arrays probe isotropic stochastic gravitational wave (GW) backgrounds in the nanohertz band but are insensitive to its parity-violating component. Motivated by recent progress in pulsar polarization arrays, we study the…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Qiuyue Liang , Kimihiro Nomura , Hidetoshi Omiya

The gravitational self-force on a point particle moving in a vacuum background spacetime can be expressed as an integral over the past worldline of the particle, the so-called tail term. In this paper, we consider that piece of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Warren G. Anderson , Eanna E. Flanagan , Adrian C. Ottewill

Momentum transport is anomalous in chiral $p+ip$ superfluids and superconductors in the presence of textures and superflow. Using the gradient expansion of the semi-classical approximation, we show how gauge and Galilean symmetries induce…

Superconductivity · Physics 2020-04-06 Jaakko Nissinen

We argue that conformal invariance in flat spacetime implies Weyl invariance in a general curved background metric for all unitary theories in spacetime dimensions $d \leq 10$. We also study possible curvature corrections to the Weyl…

High Energy Physics - Theory · Physics 2017-11-22 Kara Farnsworth , Markus A. Luty , Valentina Prilepina

We solve the nonlinear evolution of pressureless, irrotational density fluctuations in a perturbed Robertson-Walker spacetime using a new Lagrangian method based on the velocity gradient and gravity gradient tensors. Borrowing results from…

Astrophysics · Physics 2009-10-22 Edmund Bertschinger , Bhuvnesh Jain

We provide evidence that gravitational radiation in a 4D radiation-dominated universe, with equation-of-state $w=1/3$, consists of two components: helicity-2 gravitons and massless scalar acoustic waves. On physical grounds, we would expect…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yi-Zen Chu , Yen-Wei Liu

Due to computational barriers, the effects of parity violation have so far been grossly neglected in gravitational model-building, leading to a serious gap in the space of prior models. We present a new algorithm for efficiently computing…

High Energy Physics - Theory · Physics 2025-06-04 Will Barker , Georgios K. Karananas , Haochen Tu

We find the Weyl law followed by the eigenvalues of contractive maps. An important property is that it is mainly insensitive to the dimension of the corresponding invariant classical set, the strange attractor. The usual explanation for the…

Quantum Physics · Physics 2015-06-15 María E. Spina , Alejandro M. F. Rivas , Gabriel G. Carlo

We show that tilted Weyl semimetals with a spatially varying tilt of the Weyl cones provide a platform for studying analogues to problems in anisotropic optics as well as curved spacetime. Considering particular tilting profiles, we…

Mesoscale and Nanoscale Physics · Physics 2023-06-08 Viktor Könye , Lotte Mertens , Corentin Morice , Dmitry Chernyavsky , Ali G. Moghaddam , Jasper van Wezel , Jeroen van den Brink
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