Tuning Time-Domain Pseudospectral Computations of the Self-Force on a Charged Scalar Particle

Abstract

The computation of the self-force constitutes one of the main challenges for the construction of precise theoretical waveform templates in order to detect and analyze extreme-mass-ratio inspirals with the future space-based gravitational-wave observatory LISA. Since the number of templates required is quite high, it is important to develop fast algorithms both for the computation of the self-force and the production of waveforms. In this article we show how to tune a recent time-domain technique for the computation of the self-force, what we call the Particle without Particle scheme, in order to make it very precise and at the same time very efficient. We also extend this technique in order to allow for highly eccentric orbits.

IOP LaTeX style. 11 pages, 4 pages. Contribution to the NRDA/CAPRA 2010 Conference

References in corpus (5)

• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Hyperboloidal layers for hyperbolic equations on unbounded domains
• Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
• Pseudospectral Collocation Methods for the Computation of the Self-Force on a Charged Particle: Generic Orbits around a Schwarzschild Black Hole
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Cited by in corpus (7)

• Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
• New Kludge Scheme for the Construction of Approximate Waveforms for Extreme-Mass-Ratio Inspirals
• Moving Closer to the Collapse of a Massless Scalar Field in Spherically Symmetric Anti-de Sitter Spacetimes
• Accurate modeling of intermediate-mass-ratio inspirals: Exploring the form of the self-force in the intermediate-mass-ratio regime
• Scalar self-force for eccentric orbits around a Schwarzschild black hole
• Multi-domain spectral method for self-force calculations
• Discontinuous collocation methods and gravitational self-force applications