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We present a complete analytic and semi-analytic study of gravitational collapse and primordial black hole (PBH) formation in the quadratic $f(R)$ model $f(R)=R+\alpha R^2$. We first derive the perturbative expansion around General…

General Relativity and Quantum Cosmology · Physics 2026-01-07 G. G. L. Nashed

We present a detailed descriptive analysis of the gravitational radiation from black-hole binary mergers of nonspinning black holes, based on numerical simulations of systems varying from equal-mass to a 6:1 mass ratio. Our primary goal is…

General Relativity and Quantum Cosmology · Physics 2010-05-12 John G. Baker , William D. Boggs , Joan Centrella , Bernard J. Kelly , Sean T. McWilliams , James R. van Meter

Primordial black holes (PBHs) are an important tool in cosmology to probe the primordial spectrum of small-scale curvature perturbations that reenter the cosmological horizon during radiation domination epoch. We numerically solve the…

General Relativity and Quantum Cosmology · Physics 2014-01-31 Tomohiro Nakama , Tomohiro Harada , A. G. Polnarev , Jun'ichi Yokoyama

Black hole horizons interact with external fields when matter-energy falls through them. Such non-stationary black hole horizons can be described using viscous fluid equations. This work attempts to describe this process using effective…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Swastik Bhattacharya , S. Shankaranarayanan

This paper presents a systematic study of the chaotic dynamics of charged test particles around purely magnetically charged black holes immersed in a uniform external magnetic field within the framework of Einstein-ModMax theory. By…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Zijian Liu , Wenfu Cao

Motivated by recent detections of black hole binary systems through gravitational waves, in this thesis we discuss two complementary channels for the observation of Primordial Black Holes (PBHs) with masses between a few and a hundred solar…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 Francesca Scarcella

In this paper, we systematically study spherically symmetric static spacetimes in the framework of Einstein-aether theory, and pay particular attention to the existence of black holes (BHs). In the present studies we first clarify several…

General Relativity and Quantum Cosmology · Physics 2020-09-18 Chao Zhang , Xiang Zhao , Kai Lin , Shaojun Zhang , Wen Zhao , Anzhong Wang

In this paper, we are concerned with studying the existence of invariant complex manifolds of two-dimensional holomorphic systems. From the geometric singular perturbation theory we know that if a slow-fast system has associated a normally…

Dynamical Systems · Mathematics 2023-04-04 Gabriel Rondón , Paulo R. da Silva , Luiz F. S. Gouveia

In this paper we focus on understanding the physical processes that lead to stable or unstable ionization fronts (I-fronts) observed in simulations of moving black holes (BHs). The front instability may trigger bursts of gas accretion,…

Astrophysics of Galaxies · Physics 2020-06-16 Kazuyuki Sugimura , Massimo Ricotti

This thesis is dedicated to the study of symmetries in reduced models of gravity, with some frozen degrees of freedom. We focus on the minisuperspace reduction whith a finite number of degrees of freedom. Minisuperspaces are treated as…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Francesco Sartini

The ground-breaking detections of gravitational waves from black hole mergers by LIGO have rekindled interest in primordial black holes (PBHs) and the possibility of dark matter being composed of PBHs. It has been suggested that PBHs of…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-24 Qirong Zhu , Eugene Vasiliev , Yuexing Li , Yipeng Jing

We investigate the interior structure of asymptotically flat hairy black holes (HBHs) arising in the Einstein-Klein-Gordon theory with nonpositive-definite scalar potentials, where nontrivial scalar hair exists at the event horizon. While…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Xiao Yan Chew , Kok-Geng Lim , Dong-han Yeom

The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling…

The merger of colliding black holes (BHs) should lead to the production of ringdown or quasinormal modes (QNMs), which may very well be sensitive to the state of the interior. We put this idea to the test with a recent proposal that the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Ram Brustein , A. J. M. Medved , K. Yagi

We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear…

High Energy Physics - Theory · Physics 2008-11-26 Ahmad Sheykhi

Attempts to understand the formation of binary black hole (BBH) systems detected via gravitational wave (GW) emission are affected by many unknowns and uncertainties, from both the observational and theoretical (astrophysical modelling)…

High Energy Astrophysical Phenomena · Physics 2025-12-18 Jam Sadiq , Thomas Dent , Ana Lorenzo-Medina

(Abridged) A solution is obtained for the interior structure of an uncharged rotating black hole that accretes a collisionless fluid. The solution is conformally stationary, axisymmetric, and conformally separable, possessing a conformal…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Andrew J. S. Hamilton

We consider the imprint of superradiant instabilities of nonevaporating primordial black holes (PBHs) on the spectrum of the cosmic microwave background (CMB). In the radiation dominated era, PBHs are surrounded by a roughly homogeneous…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-27 Paolo Pani , Abraham Loeb

We investigate properties of the inner horizons of certain black holes in higher-derivative three-dimensional gravity theories. We focus on BTZ and Spacelike Warped Anti-de Sitter black holes, as well as on asymptotically Warped de-Sitter…

High Energy Physics - Theory · Physics 2015-06-04 Stéphane Detournay

An integrable theory is developed for the perturbation equations engendered from small disturbances of solutions. It includes various integrable properties of the perturbation equations: hereditary recursion operators, master symmetries,…

solv-int · Physics 2015-06-26 W. X. Ma , B. Fuchssteiner
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