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Saddle-point dynamics of a Yang-Mills field on the exterior Schwarzschild spacetime
We consider the Cauchy problem for a spherically symmetric SU (2) Yang–Mills field propagating outside the Schwarzschild black hole. …
Piotr Bizoń
,
Andrzej Rostworowski
,
Anıl Zenginoğlu
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arXiv
Asymptotics of Schwarzschild black hole perturbations
We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge–Wheeler–Zerilli equations in a time …
Anıl Zenginoğlu
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arXiv
Hyperboloidal evolution of test fields in three spatial dimensions
We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+ 1 …
Anıl Zenginoğlu
,
Lawrence E Kidder
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arXiv
Universality of global dynamics for the cubic wave equation
We consider the initial value problem for the spherically symmetric, focusing cubic wave equation in three spatial dimensions. We give …
Piotr Bizoń
,
Anıl Zenginoğlu
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arXiv
Spacelike matching to null infinity
We present two methods to include the asymptotic domain of a background spacetime in null directions for numerical solutions of …
Anıl Zenginoğlu
,
Manuel Tiglio
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arXiv
Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
We study gravitational perturbations of Schwarzschild spacetime by solving a hyperboloidal initial value problem for the Bardeen–Press …
Anıl Zenginoğlu
,
Darío Núñez
,
Sascha Husa
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arXiv
Hyperboloidal evolution with the Einstein equations
We consider an approach to the hyperboloidal evolution problem based on the Einstein equations written for a rescaled metric. It is …
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arXiv
A hyperboloidal study of tail decay rates for scalar and Yang–Mills fields
We investigate the asymptotic behavior of spherically symmetric solutions to scalar wave and Yang–Mills equations on a Schwarzschild …
Anıl Zenginoğlu
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arXiv
Hyperboloidal foliations and scri-fixing
A useful choice of gauge when including null infinity in the computational domain is scri-fixing, that is, fixing the spatial …
Anıl Zenginoğlu
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arXiv
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