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The purpose of this article is to draw attention to some fundamental issues in General Relativity. It is argued that these deep issues cannot be resolved within the standard approach to general relativity that considers {\em every} solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sanjay M. Wagh

The coalescences of stellar-mass black-hole binaries through their inspiral, merger, and ringdown are among the most promising sources for ground-based gravitational-wave (GW) detectors. If a GW signal is observed with sufficient…

X-ray reflection spectroscopy is potentially a powerful tool to probe the spacetime geometry around astrophysical black holes and test general relativity in the strong field regime. However, precision tests of general relativity are only…

General Relativity and Quantum Cosmology · Physics 2020-06-25 Honghui Liu , Haiyang Wang , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi

Relativistic reflection features in the X-ray spectra of black hole binaries and AGNs originate from illumination of the inner part of the accretion disk by a hot corona. In the presence of high quality data and with the correct…

High Energy Astrophysical Phenomena · Physics 2020-09-28 Ashutosh Tripathi , Honghui Liu , Cosimo Bambi

We propose a new test of strong-field general relativity (GR) based on the universal interferometric signature of the black hole photon ring. The photon ring is a narrow ring-shaped feature, predicted by GR but not yet observed, that…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Samuel E. Gralla , Alexandru Lupsasca , Daniel P. Marrone

We review recent developments and results in testing general relativity (GR) at cosmological scales. The subject has witnessed rapid growth during the last two decades with the aim of addressing the question of cosmic acceleration and the…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-09 Mustapha Ishak

A general bimetric theory of gravitation is described as a linear in the second approximation. This is allowed due to the small experimental significance of the higher order terms. Solar System tests are satisfied. The theory allows black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Ionescu-Pallas , M. I. Piso , S. Onofrei

The theory of general relativity, for which we celebrate the centennial at this Symposium, is based on the Einstein equivalence principle. This principle could be violated through a pseudoscalar-photon interaction, which would also produce…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-15 Sperello di Serego Alighieri

The general theory of relativity is currently established as the most precise theory of gravity supported by observations, and its application is diverse ranging from astronomy to cosmology, while its application to astrophysics has been…

Solar and Stellar Astrophysics · Physics 2025-07-16 Shuichi Yokoyama

Horndeski gravity holds a special position as the most general extension of Einstein's theory of general relativity with a single scalar degree of freedom and second-order field equations. Because of these features, Horndeski gravity is an…

General Relativity and Quantum Cosmology · Physics 2016-06-23 Hector O. Silva , Andrea Maselli , Masato Minamitsuji , Emanuele Berti

Though the main applications of computer simulations in relativity are to astrophysical systems such as black holes and neutron stars, nonetheless there are important applications of numerical methods to the investigation of general…

General Relativity and Quantum Cosmology · Physics 2016-11-15 David Garfinkle

Black holes were predicted by Einstein General Relativity (GR). Because of unusual properties of these objects their existence is almost unbelievable. There are gravitation theories which do not predict the black hole appearance. By now,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. M. Cherepashchuk

Observations of gravitational waves (GWs) by the advanced LIGO--Virgo detectors provide us with ground breaking opportunities to test predictions of Einstein's theory of general relativity (GR) in the strong field regime. In this article,…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Abhirup Ghosh

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bhuvnesh Jain , Justin Khoury

Black holes in General Relativity are very simple objects. This property, that goes under the name of "no-hair," has been refined in the last few decades and admits several versions. The simplicity of black holes makes them ideal testbeds…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Vitor Cardoso , Leonardo Gualtieri

Observations of the continuum spectrum emitted by accretion disks around black holes allows us to infer their properties, including possibly whether black holes are described by the Kerr metric. Some modified gravity theories do not admit…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Dimitry Ayzenberg , Nicolas Yunes

Exploring Einstein's theories of relativity in quantum systems, for example by using atomic clocks at high speeds can deepen our knowledge in physics. However, many challenges still remain on finding novel methods for detecting effects of…

Quantum Physics · Physics 2015-04-24 Wen-Te Liao , Sven Ahrens

No. All theoretical predictions for the observational appearance of an accreting supermassive black hole, as measured interferometrically by a sparse Earth-sized array at current observation frequencies, are sensitive to many untested…

High Energy Astrophysical Phenomena · Physics 2021-01-20 Samuel E. Gralla

An overview of the experimental and observational status in gravitational physics is given, both for the known tests of general relativity and Newtonian gravity, but also for the increasing number of results where these theories run into…

General Relativity and Quantum Cosmology · Physics 2008-12-14 Alexander Unzicker

We describe and present the first observational evidence that light propagating near a rotating black hole is twisted in phase and carries orbital angular momentum. The novel use of this physical observable as an additional tool for the…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Fabrizio Tamburini , Fabiano Feleppa , Bo Thidé