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We explore whether a new method to solve the constraints of Einstein's equations, which does not involve elliptic equations, can be applied to provide initial data for black holes. We show that this method can be successfully applied to a…

General Relativity and Quantum Cosmology · Physics 2015-06-08 István Rácz , Jeffrey Winicour

We devise a novel mechanism and for the first time demonstrate that the Higgs model in particle physics can drive the inflation to satisfy the cosmic microwave background observations and simultaneously enhance the curvature perturbations…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Zhu Yi , Yungui Gong , Bin Wang , Zong-hong Zhu

Within the isolated horizon formalism, we investigate a static axisymmetric space-time of a black hole influenced by matter in its neighborhood. To illustrate the role of ingredients and assumptions in this formalism, we first show how, in…

General Relativity and Quantum Cosmology · Physics 2025-01-13 Aleš Flandera , David Kofroň , Tomáš Ledvinka

In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordstr\"om family of black holes in the spherically symmetric Einstein-Maxwell-neutral scalar field model, up to and including the event…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

We test the stability of various wormholes and black holes supported by a scalar field with a negative kinetic term. The general axial perturbations and the monopole type of polar perturbations are considered in the linear approximation.…

General Relativity and Quantum Cosmology · Physics 2013-07-15 K. A. Bronnikov , R. A. Konoplya , A. Zhidenko

We study perturbations of massive and massless vector fields on a Schwarzschild black-hole background, including a non-minimal coupling between the vector field and the curvature. The coupling is given by the Horndeski vector-tensor…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Sebastian Garcia-Saenz , Aaron Held , Jun Zhang

This study investigates the realization of R-symmetric Higgs inflation within the framework of no-scale-like supergravity, aiming to elucidate the formation of primordial black holes and observable gravitational waves within a class of GUT…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-03 Nadir Ijaz , Mansoor Ur Rehman

We give a complete analytical proof of existence and uniqueness of extreme-like black hole initial data for Einstein equations, which possess a cilindrical end, analogous to extreme Kerr, extreme Reissner Nordstrom, and extreme Bowen-York's…

General Relativity and Quantum Cosmology · Physics 2012-08-17 María E. Gabach Clement

We study the production of scalar-induced gravitational waves and primordial black holes in a single-field inflation model with a localized bump or dip feature in the potential. Introducing such a localized feature temporarily decelerates…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Xiang Zhang , Zhao-Huan Yu

We review results on the spherically symmetric, asymptotically flat Einstein-Vlasov system. We focus on a recent result where we found explicit conditions on the initial data which guarantee the formation of a black hole in the evolution.…

General Relativity and Quantum Cosmology · Physics 2011-02-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

We show that the Penrose inequality is satisfied for a class of conformally flat axially symmetric nonmaximal perturbations of the Schwarzschild data. A role of horizon is played by a marginally outer trapped surface which does not have to…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Jarosław Kopiński , Jacek Tafel

We consider a massless scalar field propagating on the exterior of the extreme Reissner-Nordstr\"om black hole. Using a discrete conformal symmetry of this spacetime, we draw a one-to-one relationship between the behavior of the field near…

General Relativity and Quantum Cosmology · Physics 2013-02-20 Piotr Bizoń , Helmut Friedrich

In the context of Einstein-Maxwell-scalar theory with a nonminimal coupling between the electromagnetic and scalar field, we study linear (non)radial perturbations and nonlinear radial dynamics of spherically symmetric black holes. In a…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Marco Melis , Fabrizio Corelli , Robin Croft , Paolo Pani

We study the nonlinear evolution of the spherical symmetric black holes under a small neutral scalar field perturbation in Einstein-Maxwell-dilaton theory with coupling function $f(\phi)=e^{-b\phi}$ in asymptotic anti-de Sitter spacetime.…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Cheng-Yong Zhang , Peng Liu , Yunqi Liu , Chao Niu , Bin Wang

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

General Relativity and Quantum Cosmology · Physics 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

We consider Brans-Dicke type nonminimally coupled scalar field as a candidate for dark energy. In the conformally transformed Einstein's frame, our model is similar to {\it coupled quintessence} model. In such models, we consider potentials…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-14 Anjan A Sen , Gaveshna Gupta , Sudipta Das

We consider static spherically symmetric wormhole configurations in a gravitational theory of a scalar field with a potential $V(\phi)$ and nonminimal derivative coupling to the curvature describing by the term $(\epsilon g_{\mu\nu} +…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Sergey Sushkov , Roman Korolev

In the presence of confinement, small-data solutions to nonlinear dispersive equations can exhibit a gradual energy transfer from low to high frequencies, a mechanism driving the emergence of weakly turbulent dynamics. We show that such a…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Christoph Kehle , Georgios Moschidis

Motivated by cosmic censorship in general relativity and string theory, we extend Christodoulou's celebrated examples of naked singularity formation in the Einstein-massless scalar field system to include a positive or negative scalar…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Xuefeng Zhang , Xinliang An
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