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Related papers: Tidal Love numbers of anisotropic stars within the…

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In this paper, we develop a new class of models for a compact star with anisotropic stresses inside the matter distribution. By assuming a linear equation of state for the anisotropic matter composition of the star we solve the Einstein…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Shyam Das , Saibal Ray , Maxim Khlopov , K. K. Nandi , Bikram Keshari Parida

As a possible alternative to black holes, horizonless compact objects have significant implications for gravitational-wave physics. In this work, we utilize the standard linearized theory of general relativity to calculate the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

Tidal deformability of a coalescing neutron star subjected to an external tidal field plays an important role in our probe for the structure and properties of compact stars. In particular, the tidal love number provides valuable information…

General Relativity and Quantum Cosmology · Physics 2020-12-24 Shyam Das , Bikram Keshari Parida , Ranjan Sharma

We investigate the properties of relativistic stars made of dark energy. We model stellar structure assuming i) isotropic perfect fluid and ii) a dark energy inspired equation of state, the generalized equation of state of Chaplygin gas, as…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

We study the axial (magnetic) tidal Love numbers of a Schwarzschild black hole surrounded by a spherically symmetric matter distribution. While the formalism developed here is general, we specialize to the case of anisotropic fluids as a…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Simone D'Onofrio , Sayak Datta , Andrea Maselli

Precision measurements of the gravitational wave signal from compact binary inspirals allow us to constrain the internal structure of those objects via physical parameters such as the tidal Love numbers. In scalar-tensor theories, one…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Robin Fynn Diedrichs , Shinji Tsujikawa , Kent Yagi

We investigate exotic stars composed of dark energy within the context of Einstein's General Relativity, by applying an extended Chaplygin gas equation-of-state. To account for anisotropies, we utilize a formalism based on the complexity…

General Relativity and Quantum Cosmology · Physics 2023-02-23 Á. Rincón , G. Panotopoulos , I. Lopes

In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Taylor Binnington , Eric Poisson

The metric outside a compact body deformed by a quadrupolar tidal field is universal up to its Love numbers, constants which encode the tidal response's dependence on the body's internal structure. For a non-rotating body, the deformed…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Philippe Landry

By extending our recent framework to describe the tidal deformations of a spinning compact object, we compute for the first time the tidal Love numbers of a spinning neutron star to linear order in the angular momentum. The spin of the…

General Relativity and Quantum Cosmology · Physics 2015-12-03 Paolo Pani , Leonardo Gualtieri , Valeria Ferrari

For a variety of fully relativistic polytropic neutron star models we calculate the star's tidal Love number k2. Most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n~0.5-1.0. The…

Astrophysics · Physics 2009-03-20 Tanja Hinderer

Tidal Love numbers quantify the conservative static response of compact objects to external tidal fields, and are found to vanish exactly for asymptotically flat black holes in four-dimensional general relativity. Many aspects of the…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Valerio De Luca , Brandon Khek , Justin Khoury , Mark Trodden

The physical significance of tidal deformation in astronomical systems has long been known. The recently discovered universal I-Love-Q relations, which connect moment of inertia, quadrupole tidal Love number, and spin-induced quadrupole…

Solar and Stellar Astrophysics · Physics 2017-09-19 Kenny L. S. Yip , P. T. Leung

Observations of gravitational waves from inspiralling neutron star binaries---such as GW170817---can be used to constrain the nuclear equation of state by placing bounds on stellar tidal deformability. For slowly rotating neutron stars, the…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Jérémie Gagnon-Bischoff , Stephen R. Green , Philippe Landry , Néstor Ortiz

The deformation of a nonrotating body resulting from the application of a tidal field is measured by two sets of Love numbers associated with the gravitoelectric and gravitomagnetic pieces of the tidal field, respectively. The…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Philippe Landry , Eric Poisson

A set of tidal Love numbers quantifies tidal deformation of compact objects and is a detectable imprint in gravitational waves from inspiralling binary systems. The measurement of black hole Love numbers allows to test strong-field gravity.…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Takuya Katagiri , Tact Ikeda , Vitor Cardoso

We construct dark energy stars with Chaplygin-type equation of state (EoS) in the presence of anisotropic pressure within the framework of Einstein gravity. From the classification established by Iyer et al. [Class. Quantum Grav. 2, 219…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Juan M. Z. Pretel

It is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime dimensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

We study tidal Love numbers of static black holes in four-dimensional quadratic theory of gravity, extending the result of GR. We use worldline effective field theory (WEFT) methods to compute metric perturbations from one-point functions,…

High Energy Physics - Theory · Physics 2025-11-25 Arpan Bhattacharyya , Saptaswa Ghosh , Naman Kumar , Shailesh Kumar , Sounak Pal

A sum rule for tidal Love number is derived from quantum field theory computations, which relates tidal susceptibility of a spinless body to transition rates of its single graviton emission processes. An analogous sum rule for…

High Energy Physics - Theory · Physics 2021-08-24 Jung-Wook Kim , Myungbo Shim
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