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This thesis focuses on the application of numerical relativity methods to the solutions of problems in strong gravity. Our goal is the study of mergers of compact objects in the strong field regime where non-linear dynamics manifest and…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Llibert Aresté Saló

Rapidly-rotating black-hole spacetimes outside general relativity are key to many tests of Einstein's theory. We here develop an efficient spectral method to represent such spacetimes analytically, in closed-form, and to high accuracy, in a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Sofiane Aoudia , Alessandro D. A. M. Spallicci

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

General Physics · Physics 2007-05-23 Yehea I. Ismail

Measurements of gravitational waves from the inspiral of a stellar-mass compact object into a massive black hole are unique probes to test General Relativity (GR) and MBH properties, as well as the stellar distribution about these holes in…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Pau Amaro-Seoane , Patrick Brem , Jorge Cuadra , Philip J. Armitage

Einstein's theory of General Relativity predicts that the spacetime metric around astrophysical black holes is described by the Kerr solution. In this work, we employ state-of-the-art in relativistic reflection modeling to analyze a…

High Energy Astrophysical Phenomena · Physics 2021-05-31 Ashutosh Tripathi , Yuexin Zhang , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Jiachen Jiang , Honghui Liu , Menglei Zhou

We study eccentric orbits of the Schwarzschild spacetime for extreme mass ratio system (EMRI) in modified gravity theories with additional scalar fields. Due to the additional energy and angular momentum carried away by the scalar field,…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Chao Zhang , Yungui Gong , Dicong Liang , Bin Wang

We establish a generic, fully-relativistic formalism to study gravitational-wave emission by extreme-mass-ratio systems in spherically-symmetric, non-vacuum black-hole spacetimes. The potential applications to astrophysical setups range…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli

We present a full 3D numerical evolution code to study neutron stars in massive-scalar-tensor theories. The code is embedded in the Einstein Toolkit framework and its implementation constitutes a modified version of the…

General Relativity and Quantum Cosmology · Physics 2026-05-19 José Carlos Olvera M. , Daniela D. Doneva , Pablo Cerdá-Durán , José A. Font , Stoytcho S. Yazadjiev

If due attention is given in formulating the basic equations for the Gamma-Ray Burst (GRB) phenomenon and in performing the corresponding quantitative analysis, GRBs open a main avenue of inquiring on totally new physical and astrophysical…

Astrophysics · Physics 2009-11-07 R. Ruffini , C. L. Bianco , P. Chardonnet , F. Fraschetti , L. Vitagliano , S. -S. Xue

In this paper, we study massive gravity in the presence of Born-Infeld nonlinear electrodynamics. First, we obtain metric function related to this gravity and investigate the geometry of the solutions and find that there is an essential…

High Energy Physics - Theory · Physics 2015-11-25 Seyed Hossein Hendi , Behzad Eslam Panah , Shahram Panahiyan

We present numerical solutions of several spacetimes of physical interest, including binary black hole mergers, in shift-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) gravity, and describe our methods for solving the full equations of…

General Relativity and Quantum Cosmology · Physics 2021-02-25 William E. East , Justin L. Ripley

We explicitly demonstrate that current numerical relativity techniques are able to accurately evolve black hole binaries with mass ratios of the order of 1000:1. This proof of principle is relevant for future third generation (3G)…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Carlos O. Lousto , James Healy

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

Binary neutron star mergers, which can lead to less massive black holes relative to other known astrophysical channels, have the potential to probe modifications to general relativity that arise at smaller curvature scales compared to more…

General Relativity and Quantum Cosmology · Physics 2022-11-29 William E. East , Frans Pretorius

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

Einstein's theory of General Relativity is one of the pillars of modern physics. For decades, the theory has been mainly tested in the weak field regime with experiments in the Solar System and observations of binary pulsars. Thanks to a…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Cosimo Bambi

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

The inspiral of a stellar-mass compact object into a massive ($\sim 10^{4}$-$10^{7} M_{\odot}$) black hole produces an intricate gravitational-wave signal. Due to the extreme-mass ratios involved, these systems complete $\sim…

The modelling of unequal mass binary black hole systems is of high importance to detect and estimate parameters from these systems. Numerical relativity (NR) is well suited to study systems with comparable component masses, $m_1\sim m_2$,…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Antoni Ramos-Buades , Maarten van de Meent , Harald P. Pfeiffer , Hannes R. Rüter , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder