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This is a preprint of Chapter 2 in the following work: Marta Lewicka, A Course on Tug-of-War Games with Random Noise, 2020, Springer, reproduced with permission of Springer Nature Switzerland AG. We present the basic relation between the…

偏微分方程分析 · 数学 2020-07-24 Marta Lewicka

One of the most fundamental features of a black hole in general relativity is its event horizon: a boundary from which nothing can escape. There has been a recent surge of interest in the nature of these event horizons and their local…

高能天体物理现象 · 物理学 2016-11-11 Niayesh Afshordi , Yasaman K. Yazdi

The running-mass inflation model, which has strong motivation from particle physics, predicts density perturbations whose spectral index is strongly scale-dependent. For a large part of parameter space the spectrum rises sharply to short…

天体物理学 · 物理学 2009-10-31 Samuel M Leach , Ian J Grivell , Andrew R Liddle

We revisit the relation between fuzzball solutions and D1-D5 microstates. A consequence of the fact that the R ground states (in the usual basis) are eigenstates of the R-charge is that only neutral operators can have non-vanishing…

高能物理 - 理论 · 物理学 2008-11-26 Kostas Skenderis , Marika Taylor

The Fundamental Plane (FP) describes the relation between the stellar mass, size, and velocity dispersion of elliptical galaxies; the Faber-Jackson relation (FJR) is its projection onto {mass, velocity} space. In this work we redeploy and…

星系天体物理 · 物理学 2016-12-07 Harry Desmond , Risa H. Wechsler

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

广义相对论与量子宇宙学 · 物理学 2022-11-18 Alfio Bonanno , Frank Saueressig

Strong gravity and magnetic fields are key ingredients that power processes of accretion and ejection near compact objects. While the particular mechanisms that operate here are still discussed, it seems that the presence of an ordered…

高能天体物理现象 · 物理学 2020-09-02 Ondřej Kopáček , Vladimír Karas

Hawking radiation sets stringent constraints on Primordial Black Holes (PBHs) as a dark matter candidate in the $M \sim 10^{16} \ \mathrm{g}$ regime based on the evaporation products such as photons, electrons, and positrons. This motivates…

宇宙学与河外天体物理 · 物理学 2024-07-16 Gabriel Vasquez , John Kushan , Makana Silva , Emily Koivu , Arijit Das , Christopher M. Hirata

We extend firstly the regular phantom black hole solution to a slowly rotating black hole case and find that the phantom field depresses the angular velocity of the event horizon and suppresses the super-radiation of black hole. We also…

广义相对论与量子宇宙学 · 物理学 2016-09-20 Songbai Chen , Mei Wang , Jiliang Jing

Various spacetime candidates for traversable wormholes, regular black holes, and `black-bounces' are presented and thoroughly explored in the context of the gravitational theory of general relativity. All candidate spacetimes belong to the…

广义相对论与量子宇宙学 · 物理学 2021-04-30 Alex Simpson

Recently, there has been much interest in black hole echoes, based on the idea that there may be some mechanism (e.g., from quantum gravity) that waves/fields falling into a black hole could partially reflect off of an interface before…

广义相对论与量子宇宙学 · 物理学 2023-10-03 Conner Dailey , Niayesh Afshordi , Erik Schnetter

We propose a novel mechanism for the formation of primordial black holes by demonstrating that the delayed production of isocurvature perturbations resulting from Poisson fluctuations within the domain wall network can lead to collapse and…

宇宙学与河外天体物理 · 物理学 2025-08-07 Bo-Qiang Lu , Cheng-Wei Chiang , Tianjun Li

Quasars emission is highly variable, and this variability gives us clues to understand the accretion process onto supermassive black holes. We can expect variability properties to correlate with the main physical properties of the accreting…

It has been shown that black hole quasinormal modes are subject to spectral instability, typically triggered by metric perturbations. These perturbations, which can introduce a minor bump in the effective potential of the wave equation,…

广义相对论与量子宇宙学 · 物理学 2025-02-11 Ramin G. Daghigh , Guan-Ru Li , Wei-Liang Qian , Stefan J. Randow

A stochastic model for a super-position of uncorrelated pulses with a random distribution of and correlations between amplitudes and velocities is analyzed. The pulses are assumed to move radially with fixed shape and amplitudes decreasing…

等离子体物理 · 物理学 2024-12-09 O. Paikina , J. M. Losada , A. Theodorsen , O. E. Garcia

Einstein equations projected on black-hole horizons give rise to the equations of motion of a viscous fluid. This suggests a way to understand the microscopic degrees of freedom on the black-hole horizon by focusing on the physics of this…

广义相对论与量子宇宙学 · 物理学 2023-01-30 Swastik Bhattacharya , S. Shankaranarayanan

This article is devoted to investigate the effects of $f(R)$ theory in the dynamics of a massless particle near the horizon of a static spherically symmetric (SSS) black hole. Deriving the equations of motion within $f(R)$ gravitational…

广义相对论与量子宇宙学 · 物理学 2023-12-04 Surajit Das , Surojit Dalui

Pole-skipping is a property of gravitational waves dictated by their behaviour at horizons of black holes. It stems from the inability to unambiguously impose ingoing boundary conditions at the horizon at an infinite discrete set of Fourier…

高能物理 - 理论 · 物理学 2024-07-10 Sašo Grozdanov , Mile Vrbica

New theoretical approaches developed in the last years predict that macroscopic quantum gravity effects in black holes should lead to modifications of the gravitational wave signals expected in the framework of classical general relativity,…

广义相对论与量子宇宙学 · 物理学 2018-02-13 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

We give simple and general explanation to the effect of unbound acceleration of particles by black holes. It is related to the fact that the scalar product of a timelike vector of the four-velocity of an ingoing particle and the lightlike…

广义相对论与量子宇宙学 · 物理学 2011-04-20 Oleg B. Zaslavskii