Evolution of time-symmetric gravitational waves: Initial data and apparent horizons

1977 ◽  
Vol 16 (6) ◽  
pp. 1609-1614 ◽  
Author(s):  
Kenneth Eppley
Keyword(s):  
Initial Data ◽  
Gravitational Waves ◽  
Apparent Horizons

scholarly journals Hamiltonian charges in the asymptotically de Sitter spacetimes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Maciej Kolanowski ◽  
Jerzy Lewandowski
Keyword(s):  
Phase Space ◽  
Initial Data ◽  
Exact Solutions ◽  
Gravitational Waves ◽  
Physical Meaning ◽  
De Sitter ◽  
Killing Vectors ◽  
Asymptotically Flat ◽  
Angular Momenta ◽  
The One

Abstract We generalize a notion of ‘conserved’ charges given by Wald and Zoupas to the asymptotically de Sitter spacetimes. Surprisingly, our construction is less ambiguous than the one encountered in the asymptotically flat context. An expansion around exact solutions possessing Killing vectors provides their physical meaning. In particular, we discuss a question of how to define energy and angular momenta of gravitational waves propagating on Kottler and Carter backgrounds. We show that obtained expressions have a correct limit as Λ → 0. We also comment on the relation between this approach and the one based on the canonical phase space of initial data at ℐ+.

scholarly journals Initial-data contribution to the error budget of gravitational waves from neutron-star binaries

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
Antonios Tsokaros ◽  
Bruno C. Mundim ◽  
Filippo Galeazzi ◽  
Luciano Rezzolla ◽  
Kōji Uryū
Keyword(s):  
Neutron Star ◽  
Initial Data ◽  
Gravitational Waves ◽  
Error Budget

scholarly journals A NOTE ON THE CYLINDRICAL COLLAPSE OF COUNTER-ROTATING DUST

2002 ◽  
Vol 11 (09) ◽  
pp. 1469-1477 ◽  
Author(s):  
SÉRGIO M. C. V. GONÇALVES ◽  
SANJAY JHINGAN
Keyword(s):  
Cylindrical Shell ◽  
Initial Data ◽  
Analytical Solutions ◽  
Curvature Singularity ◽  
Apparent Horizons ◽  
Long Cylindrical Shell ◽  
Hoop Conjecture ◽  
Cylindrical Collapse

We find analytical solutions describing the collapse of an infinitely long cylindrical shell of counter-rotating dust. We show that — for the classes of solutions discussed herein — from regular initial data a curvature singularity inevitably develops, and no apparent horizons form, thus in accord with the spirit of the hoop conjecture.

scholarly journals Apparent horizons in simplicial Brill wave initial data

1999 ◽  
Vol 16 (6) ◽  
pp. 1979-1985 ◽  
Author(s):  
Adrian P Gentle ◽  
Daniel E Holz ◽  
Warner A Miller ◽  
John A Wheeler
Keyword(s):  
Initial Data ◽  
Apparent Horizons

scholarly journals Bartnik mass via vacuum extensions

2019 ◽  
Vol 30 (13) ◽  
pp. 1940006
Author(s):  
Pengzi Miao ◽  
Naqing Xie
Keyword(s):  
Initial Data ◽  
Scalar Curvature ◽  
Apparent Horizon ◽  
Gauss Curvature ◽  
Positive Mass Theorem ◽  
Data Sets ◽  
Penrose Inequality ◽  
Asymptotically Flat ◽  
Apparent Horizons ◽  
Positive Gauss Curvature

We construct asymptotically flat, scalar flat extensions of Bartnik data [Formula: see text], where [Formula: see text] is a metric of positive Gauss curvature on a two-sphere [Formula: see text], and [Formula: see text] is a function that is either positive or identically zero on [Formula: see text], such that the mass of the extension can be made arbitrarily close to the half area radius of [Formula: see text]. In the case of [Formula: see text], the result gives an analog of a theorem of Mantoulidis and Schoen [On the Bartnik mass of apparent horizons, Class. Quantum Grav. 32(20) (2015) 205002, 16 pp.], but with extensions that have vanishing scalar curvature. In the context of initial data sets in general relativity, the result produces asymptotically flat, time-symmetric, vacuum initial data with an apparent horizon [Formula: see text], for any metric [Formula: see text] with positive Gauss curvature, such that the mass of the initial data is arbitrarily close to the optimal value in the Riemannian Penrose inequality. The method we use is the Shi–Tam type metric construction from [Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature, J. Differential Geom. 62(1) (2002) 79–125] and a refined Shi–Tam monotonicity, found by the first named author in [On a localized Riemannian Penrose inequality, Commun. Math. Phys. 292(1) (2009) 271–284].

Initial data of axisymmetric gravitational waves with a cosmological constant

1992 ◽  
pp. 345-352
Author(s):  
Ken-Ichi Nakao ◽  
Kei-ichi Maeda ◽  
Takashi Nakamura ◽  
Ken-ichi Oohara
Keyword(s):  
Initial Data ◽  
Cosmological Constant ◽  
Gravitational Waves
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