2013
DOI: 10.1007/978-3-642-40157-2_71
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The Spin-2 Equation on Minkowski Background

Abstract: The linearised general conformal field equations in their first and second order form are used to study the behaviour of the spin-2 zero-rest-mass equation on Minkowski background in the vicinity of space-like infinity.Comment: Contribution to the Proceedings of the Spanish Relativity Meeting ERE 2012, 4 page

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Cited by 14 publications
(22 citation statements)
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“…2. We report that our findings concerning the advantages of using the second order system (III.21) instead of the first order system of PDEs (III.16) to evolve the above initial data, confirm the respective ones in [27,29,30]. Namely, evolutions with (III.21) lead to better accuracy and suppress the appearance of the high-frequency waves that travel against the characteristics and spoil the convergence of our numerical simulations.…”
Section: Resultssupporting
confidence: 82%
“…2. We report that our findings concerning the advantages of using the second order system (III.21) instead of the first order system of PDEs (III.16) to evolve the above initial data, confirm the respective ones in [27,29,30]. Namely, evolutions with (III.21) lead to better accuracy and suppress the appearance of the high-frequency waves that travel against the characteristics and spoil the convergence of our numerical simulations.…”
Section: Resultssupporting
confidence: 82%
“…, 4. After a certain choice of the integration constants, these are 3 2)ψ = 0 Table 1. Regularity conditions for the initial data that must be satisfied at ρ = τ = 0 for various values of n and l. Note that "NA" indicates that the corresponding function ψ n is automatically regular so that no condition needs to be imposed to achieve regularity at that order.…”
Section: Simple Exact Solutionsmentioning
confidence: 99%
“…In all examples, we solve the problem with different numerical resolutions n σ , n τ (numbers of collocation points, cf. (4), (5)) and investigate how the error changes. As an indication for the maximum accuracy that could be expected in our method (or rather as an upper bound for the accuracy), we also compute the error merely due to Chebyshev interpolation of the given exact solution.…”
Section: A(x)mentioning
confidence: 99%
“…The cylinder-formulation is very appealing for numerical calculations as well. Recently, the "core" equations of the generalized CFE, a spin-2 system on Minkowski background describing linearised gravitational fields near spacelike infinity, have been solved numerically with a finite-difference method (in particular, using fourth-order Runge-Kutta in time), see [4,5,9]. A typical drawback in this approach (and other finite-difference schemes) is the restriction of the time step by the Courant-Friedrichs-Lewy (CFL) condition.…”
Section: Introductionmentioning
confidence: 99%