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We study curvature invariants in a binary black hole merger. It has been conjectured that one could define a quasi-local and foliation independent black hole horizon by finding the level--$0$ set of a suitable curvature invariant of the…

General Relativity and Quantum Cosmology · Physics 2022-06-16 Jeremy M. Peters , Alan Coley , Erik Schnetter

In calculations of gravitational collapse to form black holes, trapping horizons (foliated by marginally trapped surfaces) make their first appearance either within the collapsing matter or where it joins on to a vacuum exterior. Those…

General Relativity and Quantum Cosmology · Physics 2017-06-19 Alexis Helou , Ilia Musco , John C. Miller

Interesting analogies between shallow water dynamics and astrophysical phenomena have offered valuable insight from both the theoretical and experimental point of view. To help organize these efforts, here we analyze systematically the…

Fluid Dynamics · Physics 2021-05-19 Amilcare Porporato , Luca Ridolfi , Lamberto Rondoni

This thesis explores two avenues into understanding the physics of black holes and horizons beyond general relativity, via analogue models and Lorentz violating theories. Analogue spacetimes have wildly different dynamics to general…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Bethan Cropp

This work deals with a detailed study of the dynamics of the apparent, event and particle horizons in the background of the inhomogeneous LTB spacetime. The comparative study among these horizons shows a distinct character for apparent…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Subenoy Chakraborty , Subhajit Saha

For the study of $3+1$ dimensional Einstein vacuum equations (EVEs), substantial progress has been made recently on the problem of trapped surface formation. However, very limited knowledge of existence and associated properties is acquired…

General Relativity and Quantum Cosmology · Physics 2021-05-06 Xinliang An , Qing Han

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

Choptuik's critical phenomena in general relativity is revisited in the affine-null metric formulation of Einstein's equations for a massless scalar field in spherical symmetry. Numerical solutions are obtained by evolution of initial data…

General Relativity and Quantum Cosmology · Physics 2024-07-26 Thomas Mädler , Olaf Baake , Hamideh Hosseini , Jeffrey Winicour

We initiate the development of a horizon-based initial (or rather final) value formalism to describe the geometry and physics of the near-horizon spacetime: data specified on the horizon and a future ingoing null boundary determine the…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Sharmila Gunasekaran , Ivan Booth

We study critical black hole separations for the formation of a common apparent horizon in systems of $N$ - black holes in a time symmetric configuration. We study in detail the aligned equal mass cases for $N=2,3,4,5$, and relate them to…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Gabriela Jaramillo , Carlos O. Lousto

A novel approach is proposed for monocular obstacle detection, which relies on self-supervised learning to discriminate everything above the horizon line from everything below. Obstacles on the path of a robot that keeps moving at the same…

Robotics · Computer Science 2018-06-22 Guido de Croon , Christophe De Wagter

We present the first examples of formally asymptotically flat black hole solutions with horizons of general lens space topology $L(p,q)$. These 5-dimensional static/stationary spacetimes are regular on and outside the event horizon for any…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Marcus A. Khuri , Jordan F. Rainone

We review the Analogue Gravity description of a unidirectional water wave system, assuming no prior knowledge of General Relativity or differential geometry. In so doing, we generalize established results concerning an effective curved…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Alessia Biondi , Scott Robertson , Germain Rousseaux

The relation between event horizons and trapping horizons is investigated in a number of different situations with emphasis on their role in thermodynamics. A notion of constant change is introduced that in certain situations allows the…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Alex B. Nielsen

We numerically study water wave packets on a spatially varying counter-current in the presence of surface tension. Depending on the details of the velocity profile, we show that traversable and bi-directional analogue wormholes exist in…

Fluid Dynamics · Physics 2016-04-27 Cédric Peloquin , Léo-Paul Euvé , Thomas Philbin , Germain Rousseaux

The efforts to probe the horizon-scale structure of black holes, such as Event Horizon Telescope and GRAVITY interferometer, might provide valuable insights into the strong-field regime of Einstein's theory of gravity. In the near field…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Qing-Hua Zhu

We report on what is to our knowledge the first scattering experiment of surface waves on an accelerating transcritical flow, which in the Analogue Gravity context is described by an effective spacetime with a black-hole horizon. This…

General Relativity and Quantum Cosmology · Physics 2020-04-09 Léo-Paul Euvé , Scott Robertson , Nicolas James , Alessandro Fabbri , Germain Rousseaux

We give an exact description of the steady flow of a black string into a planar horizon. The event horizon is out of equilibrium and provides a simple, exact instance of a `flowing black funnel' in any dimension D>=5. It is also an…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Marina Martinez

We discuss black hole spacetimes with a geometrically defined quasi-local horizon on which the curvature tensor is algebraically special relative to the alignment classification. Based on many examples and analytical results, we conjecture…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Alan A. Coley , David D. McNutt , Andrey A. Shoom

Determining the frequency and duration of changing--look (CL) active galactic nuclei (AGNs) phenomena, where the optical broad emission lines appear or disappear, is crucial to understand the evolution of the accretion flow around…

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