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We study the properties of the loosely trapped surface (LTS) and the dynamically transversely trapping surface (DTTS) in Einstein-Maxwell systems. These concepts of surfaces were proposed by the four of the present authors in order to…

广义相对论与量子宇宙学 · 物理学 2020-07-09 Kangjae Lee , Tetsuya Shiromizu , Hirotaka Yoshino , Keisuke Izumi , Yoshimune Tomikawa

The concept of a marginally trapped surface is important in the theory of general relativity. In the Schwarzschild black hole spacetime, its event horizon is foliated by marginally trapped surfaces. In a more general black hole spacetime,…

微分几何 · 数学 2022-07-12 Pengyu Le

A dynamically transversely trapping surface (DTTS) is a new concept of an extension of a photon sphere that appropriately represents a strong gravity region and has close analogy with a trapped surface. We study formation of a marginally…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Hirotaka Yoshino , Keisuke Izumi , Tetsuya Shiromizu , Yoshimune Tomikawa

We propose new concepts, a dynamically transversely trapping surface (DTTS) and a marginally DTTS, as indicators for a strong gravity region. A DTTS is defined as a two-dimensional closed surface on a spacelike hypersurface such that…

广义相对论与量子宇宙学 · 物理学 2020-02-26 Hirotaka Yoshino , Keisuke Izumi , Tetsuya Shiromizu , Yoshimune Tomikawa

Bounds for the area of general closed marginally trapped surfaces (MTSs) are presented. They do not require any stability condition, and are determined by a constant that depends on a particular component of the Einstein tensor on the…

广义相对论与量子宇宙学 · 物理学 2026-04-29 José M. M. Senovilla

We reexamine a loosely trapped surface (LTS) proposed as an indicator for strong gravity and an attractive gravity probe surface (AGPS) as that for gravity. Refined inequalities for them are derived by taking account of angular momentum,…

广义相对论与量子宇宙学 · 物理学 2022-03-02 Kangjae Lee , Tetsuya Shiromizu , Keisuke Izumi

The recently developed MOTSodesic method for locating marginally outer trapped surfaces was effectively restricted to non-rotating spacetimes. In this paper we extend the method to (multi-)axisymmetric time slices of (multi-)axisymmetric…

广义相对论与量子宇宙学 · 物理学 2023-04-26 Ivan Booth , Kam To Billy Chan , Robie A. Hennigar , Hari Kunduri , Sarah Muth

To better understand the allowed range of black hole geometries, we study Weyl-distorted Schwarzschild solutions. They always contain trapped surfaces, a singularity and an isolated horizon and so should be understood to be (geometric)…

广义相对论与量子宇宙学 · 物理学 2015-03-18 Terry Pilkington , Alexandre Melanson , Joseph Fitzgerald , Ivan Booth

We discuss the local and quasilocal properties of the loosely trapped surface (LTS) and the attractive gravity probe surface (AGPS), which have been proposed to characterize the strength of gravity in both strong and weak gravity regions…

广义相对论与量子宇宙学 · 物理学 2025-10-22 Tetsuya Shiromizu , Keisuke Izumi , Hirotaka Yoshino , Yoshimune Tomikawa

We present numerical simulations of a Kerr black hole perturbed by a pulse of ingoing gravitational radiation. For strong perturbations we find up to five concentric marginally outer trapped surfaces. These trapped surfaces appear and…

广义相对论与量子宇宙学 · 物理学 2011-05-13 Tony Chu , Harald P. Pfeiffer , Michael I. Cohen

Marginally outer trapped surfaces (MOTSs, or marginal surfaces in short) are routinely used in numerical simulations of black hole spacetimes. They are an invaluable tool for locating and characterizing black holes quasi-locally in real…

广义相对论与量子宇宙学 · 物理学 2019-03-13 Daniel Pook-Kolb , Ofek Birnholtz , Badri Krishnan , Erik Schnetter

We consider a simple, physical approach to the problem of marginally trapped surfaces in the Nonsymmetric Gravitational Theory (NGT). We apply this approach to a particular spherically symmetric, Wyman sector gravitational field, consisting…

广义相对论与量子宇宙学 · 物理学 2008-11-26 L. Demopoulos , J. Legare

We formulate an analogue transverse first law for general closed marginally trapped surfaces in arbitrary spacetimes. The construction is intrinsically quasi-local and is attached directly to an individual marginally trapped surface, rather…

广义相对论与量子宇宙学 · 物理学 2026-03-13 Ramon Torres

A marginally trapped surface in a spacetime is a Riemannian surface whose mean curvature vector is lightlike at every point. In this paper we give an up-to-date overview of the differential geometric study of these surfaces in Minkowski, de…

微分几何 · 数学 2020-05-27 Kristof Dekimpe , Joeri Van der Veken

We discuss a family of inequalities involving the area, angular momentum and charges of stably outermost marginally trapped surfaces in generic non-vacuum dynamical spacetimes, with non-negative cosmological constant and matter sources…

广义相对论与量子宇宙学 · 物理学 2012-01-11 José Luis Jaramillo

We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Edward Malec , Niall Ó Murchadha

During a binary black hole merger, multiple intermediary marginally outer trapped tubes connect the initial pair of apparent horizons with the final (single) apparent horizon. The marginally outer trapped surfaces (MOTSs) that foliate these…

广义相对论与量子宇宙学 · 物理学 2024-06-14 Kam To Billy Sievers , Liam Newhook , Sarah Muth , Ivan Booth , Robie A. Hennigar , Hari K. Kunduri

Marginally trapped surfaces (MTSs) are commonly used in numerical relativity to locate black holes. For dynamical black holes, it is not known generally if this procedure is sufficiently reliable. Even for Schwarzschild black holes, Wald…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Erik Schnetter , Badri Krishnan

I will discuss some recent results on marginally outer trapped surfaces, apparent horizons, and the trapped region. A couple of applications of the results developed for marginally outer trapped surfaces to coalescence of black holes and to…

广义相对论与量子宇宙学 · 物理学 2010-04-14 Lars Andersson

Recently a simple proof of the generalizations of Hawking's black hole topology theorem and its application to topological black holes for higher dimensional ($n\geq 4$) spacetimes was given \cite{rnew}. By applying the associated new line…

广义相对论与量子宇宙学 · 物理学 2010-06-29 István Rácz
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