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Exact solutions of spherically symmetric black hole and gravitational wave are explored in $f(R)$ gravity in arbitrary dimension. We find two exact solutions for the radiation and absorption of null dust. In the framework of general…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Chunmei Liu , Hongsheng Zhang

Spherical gravitational wave is strictly forbidden in vacuum space in frame of general relativity by the Birkhoff theorem. We prove that spherical gravitational waves do exist in non-linear massive gravity, and find the exact solution.…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Hongsheng Zhang , Yang Huang

Some years ago Dray and 't Hooft found the necessary and sufficient conditions to introduce a gravitational shock wave in a particular class of vacuum solutions to Einstein's equations. We extend this work to cover cases where non-vanishing…

High Energy Physics - Theory · Physics 2009-10-28 Konstadinos Sfetsos

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\phi$ which always admits a magnetic-like expression proportional to the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pablo Bueno , Pablo A. Cano , Javier Moreno , Guido van der Velde

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

Is the graviton massless? This problem was addressed in the literature at a phenomenological level, using modified dispersion relations for gravitational waves, in linearized calculations around flat space. Here, we perform a detailed…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Vitor Cardoso , Gonçalo Castro , Andrea Maselli

Gravitational waves are rapidly becoming a very reliable tool for testing alternative theories of gravity. In particular, features in the gravitational wave emission during black hole ringdown phase provide a direct probe of the spacetime…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ruifeng Dong , Dejan Stojkovic

The quasinormal mode spectrum of gravitational waves emitted during the black hole ringdown relaxation phase, following the merger of a black hole binary, is a crucial target of gravitational wave astronomy. By considering causality…

General Relativity and Quantum Cosmology · Physics 2024-11-20 A. Kehagias , A. Riotto

Black holes are the most compact objects in the Universe. According to general relativity, black holes have a horizon that hides a singularity where Einstein's theory breaks down. Recently, gravitational waves opened the possibility to…

General Relativity and Quantum Cosmology · Physics 2022-12-01 Elisa Maggio

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

Gravitational waves emitted by distorted black holes---such as those arising from the coalescence of two neutron stars or black holes---carry not only information about the corresponding spacetime but also about the underlying theory of…

General Relativity and Quantum Cosmology · Physics 2020-11-05 Jose Luis Blázquez-Salcedo , Caio F. B. Macedo , Vitor Cardoso , Valeria Ferrari , Leonardo Gualtieri , Fech Scen Khoo , Jutta Kunz , Paolo Pani

Maxwell's equations are invariant under both duality rotations and conformal transformations. Recently Bandos, Lechner, Sorokin, and Townsend have found a nonlinear generalisation of electrodynamics which possesses both of these symmetries.…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Daniel Flores-Alfonso , Blanca Angélica González-Morales , Román Linares , Marco Maceda

The grand challenges of contemporary fundamental physics---dark matter, dark energy, vacuum energy, inflation and early universe cosmology, singularities and the hierarchy problem---all involve gravity as a key component. And of all…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Leor Barack , Vitor Cardoso , Samaya Nissanke , Thomas P. Sotiriou , Abbas Askar , Krzysztof Belczynski , Gianfranco Bertone , Edi Bon , Diego Blas , Richard Brito , Tomasz Bulik , Clare Burrage , Christian T. Byrnes , Chiara Caprini , Masha Chernyakova , Piotr Chrusciel , Monica Colpi , Valeria Ferrari , Daniele Gaggero , Jonathan Gair , Juan Garcia-Bellido , S. F. Hassan , Lavinia Heisenberg , Martin Hendry , Ik Siong Heng , Carlos Herdeiro , Tanja Hinderer , Assaf Horesh , Bradley J. Kavanagh , Bence Kocsis , Michael Kramer , Alexandre Le Tiec , Chiara Mingarelli , Germano Nardini , Gijs Nelemans , Carlos Palenzuela , Paolo Pani , Albino Perego , Edward K. Porter , Elena M. Rossi , Patricia Schmidt , Alberto Sesana , Ulrich Sperhake , Antonio Stamerra , Leo C. Stein , Nicola Tamanini , Thomas M. Tauris , L. Arturo Urena-Lopez , Frederic Vincent , Marta Volonteri , Barry Wardell , Norbert Wex , Kent Yagi , Tiziano Abdelsalhin , Miguel Angel Aloy , Pau Amaro-Seoane , Lorenzo Annulli , Manuel Arca-Sedda , Ibrahima Bah , Enrico Barausse , Elvis Barakovic , Robert Benkel , Charles L. Bennett , Laura Bernard , Sebastiano Bernuzzi , Christopher P. L. Berry , Emanuele Berti , Miguel Bezares , Jose Juan Blanco-Pillado , Jose Luis Blazquez-Salcedo , Matteo Bonetti , Mateja Boskovic , Zeljka Bosnjak , Katja Bricman , Bernd Bruegmann , Pedro R. Capelo , Sante Carloni , Pablo Cerda-Duran , Christos Charmousis , Sylvain Chaty , Aurora Clerici , Andrew Coates , Marta Colleoni , Lucas G. Collodel , Geoffrey Compere , William Cook , Isabel Cordero-Carrion , Miguel Correia , Alvaro de la Cruz-Dombriz , Viktor G. Czinner , Kyriakos Destounis , Kostas Dialektopoulos , Daniela Doneva , Massimo Dotti , Amelia Drew , Christopher Eckner , James Edholm , Roberto Emparan , Recai Erdem , Miguel Ferreira , Pedro G. Ferreira , Andrew Finch , Jose A. Font , Nicola Franchini , Kwinten Fransen , Dmitry Gal'tsov , Apratim Ganguly , Davide Gerosa , Kostas Glampedakis , Andreja Gomboc , Ariel Goobar , Leonardo Gualtieri , Eduardo Guendelman , Francesco Haardt , Troels Harmark , Filip Hejda , Thomas Hertog , Seth Hopper , Sascha Husa , Nada Ihanec , Taishi Ikeda , Amruta Jaodand , Philippe Jetzer Xisco Jimenez-Forteza , Marc Kamionkowski , David E. Kaplan , Stelios Kazantzidis , Masashi Kimura , Shiho Kobayashi , Kostas Kokkotas , Julian Krolik , Jutta Kunz , Claus Lammerzahl , Paul Lasky , Jose P. S. Lemos , Jackson Levi Said , Stefano Liberati , Jorge Lopes , Raimon Luna , Yin-Zhe Ma , Elisa Maggio , Marina Martinez Montero , Andrea Maselli , Lucio Mayer , Anupam Mazumdar , Christopher Messenger , Brice Menard , Masato Minamitsuji , Christopher J. Moore , David Mota , Sourabh Nampalliwar , Andrea Nerozzi , David Nichols , Emil Nissimov , Martin Obergaulinger , Niels A. Obers , Roberto Oliveri , George Pappas , Vedad Pasic , Hiranya Peiris , Tanja Petrushevska , Denis Pollney , Geraint Pratten , Nemanja Rakic , Istvan Racz , Miren Radia , Fethi M. Ramazanouglu , Antoni Ramos-Buades , Guilherme Raposo , Roxana Rosca-Mead , Marek Rogatko , Dorota Rosinska , Stephan Rosswog , Ester Ruiz Morales , Mairi Sakellariadou , Nicolas Sanchis-Gual , Om Sharan Salafia , Anuradha Samajdar , Alicia Sintes , Majda Smole , Carlos Sopuerta , Rafael Souza-Lima , Marko Stalevski , Nikolaos Stergioulas , Chris Stevens , Tomas Tamfal , Alejandro Torres-Forne , Sergey Tsygankov , Kivanc Unluturk , Rosa Valiante , Maarten van de Meent , Jose Velhinho , Yosef Verbin , Bert Vercnocke , Daniele Vernieri , Rodrigo Vicente , Vincenzo Vitagliano , Amanda Weltman , Bernard Whiting , Andrew Williamson , Helvi Witek , Aneta Wojnar , Kadri Yakut , Haopeng Yan , Stoycho Yazadjiev , Gabrijela Zaharijas , Miguel Zilhao

We show how the concurrent implementation of the exact solutions of the Einstein equations, of the equations of motion of the test particles, and of the relativistic estimate of the emission of gravitational waves from test particles, can…

General Relativity and Quantum Cosmology · Physics 2018-03-21 J. F. Rodriguez , J. A. Rueda , R. Ruffini

It is argued that, in order for the gravitational field to be propagated as a wave, it is necessary for it to satisfy a further set of field equations, in addition to those of Einstein and Hilbert, and these equations mean there is a…

General Relativity and Quantum Cosmology · Physics 2007-07-03 Trevor W. Marshall

We present an exact solution of Einstein's equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr-Newman black hole. The backreacted metric is of the generalized Kerr-Schild form and is Type II…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yoni BenTov , Joe Swearngin

Ten short years ago, we had the rare privilege of witnessing the onset of a renaissance in science: humanity finally succeeded in its arduous quest to directly detect gravitational waves. This breakthrough did not occur in a vacuum: it was…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Vitor Cardoso , Shauvik Biswas , Subhodeep Sarkar

In this article, we examine the possibility that there exist special scalar-tensor theories of gravity with completely nonsingular FRW solutions. Our investigation in fact shows that while most probes living in such a Universe never see the…

High Energy Physics - Theory · Physics 2009-09-15 Nemanja Kaloper , Keith A. Olive

Black holes and gravitational waves are consequences of the nonlinear character of the Einstein equations. Yet, the remarkable properties of General Relativity point to the existence of other effects. Here we uncover new nonlinear facets of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Vitor Cardoso , Jaime Redondo-Yuste , Ulrich Sperhake , Furkan Tuncer
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