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We discuss the role of dynamical tidal effects for inspiralling neutron star binaries, focussing on features that may be considered "unmodelled" in gravitational-wave searches. In order to cover the range of possibilities, we consider i)…

High Energy Astrophysical Phenomena · Physics 2018-01-31 N. Andersson , W. C. G. Ho

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

We study the relative motion of nearby free test particles in cosmological spacetimes, such as the FLRW and LTB models. In particular, the influence of spatial inhomogeneities on local tidal accelerations is investigated. The implications…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Bahram Mashhoon , Nader Mobed , Dinesh Singh

This article is intended for undergraduate students with the aim to provide a pedagogical introduction to the physics of stellar tidal deformations. The spherically symmetric shape of any star is deformed via rotation around an arbitrary…

High Energy Astrophysical Phenomena · Physics 2020-07-02 Andreas Zacchi

Tidal deformabilities are one of the observable quantities characterizing neutron stars, which are strongly associated with the stellar compactness, the ratio of the stellar mass to the radius. In addition to the tidal deformability, the…

High Energy Astrophysical Phenomena · Physics 2026-02-24 Hajime Sotani

There is a growing interest in investigating modified theories of gravity, primarily, with the aim of explaining the universe's accelerated expansion, which has been confirmed by several independent observations. Compact objects, like…

General Relativity and Quantum Cosmology · Physics 2021-08-16 K Nobleson , Tuhin Malik , Sarmistha Banik

The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Chicone , B. Mashhoon

The tidal deformation of a neutron star in a binary inspiral driven by the emission of gravitational waves affects the orbital dynamics and produces a measurable modulation of the waves. Late in the inspiral, a regime of dynamical tides…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Tristan Pitre , Eric Poisson

Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-$1/2$ particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series…

High Energy Physics - Theory · Physics 2021-03-31 Rafael Aoude , Kays Haddad , Andreas Helset

This paper discusses the gauge issue touching the gravitational waves induced at the second order by the scalar modes of cosmological perturbations. These waves are known to depend on the gauge used for their calculation. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Vincent Comeau

Extreme mass ratio inspirals (EMRIs) will be important sources for future space-based gravitational-wave detectors. In recent work, tidal resonances in binary orbital evolution induced by the tidal field of nearby stars or black holes have…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Priti Gupta , Béatrice Bonga , Alvin J. K. Chua , Takahiro Tanaka

The long-range gravitational terms associated with tidal forces, frame-dragging effects, and gravitational waves are described by the Weyl conformal tensor, the traceless part of the Riemann curvature that is not locally affected by the…

General Relativity and Quantum Cosmology · Physics 2022-06-29 A. Danehkar

General relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source described by the Kerr gravitational field. Specifically, observers that are spatially at rest in the exterior Kerr…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Carmen Chicone , Bahram Mashhoon

Tidal effects have long ago locked the Moon in synchronous rotation with the Earth and progressively increase the Earth-Moon distance. This "tidal acceleration" hinges on dissipation. Binaries containing black holes may also be tidally…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Vitor Cardoso , Paolo Pani

Gravitational wave measurements of binary neutron star coalescences offer information about the properties of the extreme matter that comprises the stars. Despite our expectation that all neutron stars in the Universe obey the same equation…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Katerina Chatziioannou , Carl-Johan Haster , Aaron Zimmerman

Tidal disruptions of stars on the equatorial plane orbiting Kerr black holes have been widely studied. However thus far, there have been fewer studies of stars in inclined precessing orbits around a Kerr black hole. In this paper, we use…

High Energy Astrophysical Phenomena · Physics 2024-07-08 Matteo Stockinger , Masaru Shibata

In 2008-2009, F. Costa and C. Herdeiro proposed a new gravito-electromagnetic analogy, based on tidal tensors. We show that connections on the tangent bundle of the space-time manifold can help not only in finding a covnenient…

Mathematical Physics · Physics 2012-07-10 Nicoleta Voicu

We present an analytic description of tides raised on a star by a small orbiting body. In particular, we highlight the disproportionate effect of eccentricity and thus the scope for using these tides to detect and characterise the orbits of…

Earth and Planetary Astrophysics · Physics 2019-01-30 Zephyr Penoyre , Nicholas C. Stone

The tidal disruption of stars in the vicinity of massive black holes is discussed in the context of $\Lambda$-gravity. The latter provides an explanation to the Hubble tension as a possible consequence of two Hubble flows, the local and…

General Relativity and Quantum Cosmology · Physics 2022-09-09 A. Stepanian , Sh. Khlghatyan , V. G. Gurzadyan

We compare the rigorous equations describing the motion of spinning test particles in gravitational and electromagnetic fields, and show that if the Mathisson-Pirani spin condition holds then exact gravito-electromagnetic analogies emerge.…

General Relativity and Quantum Cosmology · Physics 2016-05-12 L. Filipe O. Costa , José Natário , Miguel Zilhão