Spectral methods for the spin-2 equation near the cylinder at spatial infinity

Macedo, Rodrigo P.; Valiente Kroon, Juan A.

doi:10.1088/1361-6382/aac116

Spectral methods for the spin-2 equation near the cylinder at spatial infinity

Mar 11, 2018

24 pages

Published in:

Class.Quant.Grav. 35 (2018) 12, 125007

Published: May 21, 2018

e-Print:

1803.03980 [gr-qc]

DOI:

10.1088/1361-6382/aac116

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Abstract: (arXiv)

We solve, numerically, the massless spin-2 equations, written in terms of a gauge based on the properties of conformal geodesics, in a neighbourhood of spatial infinity using spectral methods in both space and time. This strategy allows us to compute the solutions to these equations up to the critical sets where null infinity intersects with spatial infinity. Moreover, we use the convergence rates of the numerical solutions to read-off their regularity properties.

Note:

21 pages, 6 figures. Match published version

conformal Einstein equations
spectral methods
numerical relativity
Minkowski spacetime

References(45)

Figures(18)

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