Simulations of Extreme-Mass-Ratio Inspirals Using Pseudospectral Methods

Abstract

Extreme-mass-ratio inspirals (EMRIs), stellar-mass compact objects (SCOs) inspiralling into a massive black hole, are one of the main sources of gravitational waves expected for the Laser Interferometer Space Antenna (LISA). To extract the EMRI signals from the expected LISA data stream, which will also contain the instrumental noise as well as other signals, we need very accurate theoretical templates of the gravitational waves that they produce. In order to construct those templates we need to account for the gravitational backreaction, that is, how the gravitational field of the SCO affects its own trajectory. In general relativity, the backreaction can be described in terms of a local self-force, and the foundations to compute it have been laid recently. Due to its complexity, some parts of the calculation of the self-force have to be performed numerically. Here, we report on an ongoing effort towards the computation of the self-force based on time-domain multi-grid pseudospectral methods.

6 pages, 4 figures, JPCS latex style. Submitted to JPCS (special issue for the proceedings of the 7th International LISA Symposium)

References in corpus (3)

• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• The effect of mass-segregation on gravitational wave sources near massive black holes
• A Finite Element Computation of the Gravitational Radiation emitted by a Point-like object orbiting a Non-rotating Black Hole

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• The Science of the Einstein Telescope
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• Pseudospectral Collocation Methods for the Computation of the Self-Force on a Charged Particle: Generic Orbits around a Schwarzschild Black Hole
• New Kludge Scheme for the Construction of Approximate Waveforms for Extreme-Mass-Ratio Inspirals
• Persistent junk solutions in time-domain modeling of extreme mass ratio binaries
• Are Time-Domain Self-Force Calculations Contaminated by Jost Solutions?
• Tuning Time-Domain Pseudospectral Computations of the Self-Force on a Charged Scalar Particle
• Toward exponentially-convergent simulations of extreme-mass-ratio inspirals: A time-domain solver for the scalar Teukolsky equation with singular source terms
• Time-domain modelling of Extreme-Mass-Ratio Inspirals for the Laser Interferometer Space Antenna
• Discontinuous Galerkin method for linear wave equations involving derivatives of the Dirac delta distribution