Regularization of a scalar charged particle for generic orbits in Kerr spacetime. (arXiv:2107.14750v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Heffernan_A/0/1/0/all/0/1">Anna Heffernan</a>
A scalar charged particle moving in a curved background spacetime will emit a
field effecting its own motion; the resolving of this resulting motion is often
referred to as the self-force problem. This also serves as a toy model for the
astrophysically interesting compact body binaries, Extreme Mass Ratio
Inspirals, targets for the future space-based gravitational wave detector,
LISA. In the modelling of such systems, a point particle assumption leads to
problematic singularities which need to be safely removed to solve for the
motion of the particle regardless of the scenario: scalar, electromagnetic or
gravitational. Here, we concentrate on a scalar charged particle and calculate
the next order of the Detweiler-Whiting singular field and its resulting
regularisation parameter when employing the mode-sum method of regularisation.
This enables sufficiently faster self-force calculations giving the same level
of accuracy with significantly less $ell$ modes. Due to the similarity of the
governing equations, this also lays the groundwork for similar calculations for
an electromagnetic or mass charged particle in Kerr spacetime and has
applications in other regularisation schemes like the effective source and
matched expansion.
A scalar charged particle moving in a curved background spacetime will emit a
field effecting its own motion; the resolving of this resulting motion is often
referred to as the self-force problem. This also serves as a toy model for the
astrophysically interesting compact body binaries, Extreme Mass Ratio
Inspirals, targets for the future space-based gravitational wave detector,
LISA. In the modelling of such systems, a point particle assumption leads to
problematic singularities which need to be safely removed to solve for the
motion of the particle regardless of the scenario: scalar, electromagnetic or
gravitational. Here, we concentrate on a scalar charged particle and calculate
the next order of the Detweiler-Whiting singular field and its resulting
regularisation parameter when employing the mode-sum method of regularisation.
This enables sufficiently faster self-force calculations giving the same level
of accuracy with significantly less $ell$ modes. Due to the similarity of the
governing equations, this also lays the groundwork for similar calculations for
an electromagnetic or mass charged particle in Kerr spacetime and has
applications in other regularisation schemes like the effective source and
matched expansion.
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