The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
Introduction to Gravitational Self-Force
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abstract
The motion of sufficiently small body in general relativity should be accurately described by a geodesic. However, there should be ``gravitational self-force'' corrections to geodesic motion, analogous to the ``radiation reaction forces'' that occur in electrodynamics. It is of considerable importance to be able to calculate these self-force corrections in order to be able to determine such effects as inspiral motion in the extreme mass ratio limit. However, severe difficulties arise if one attempts to consider point particles in the context of general relativity. This article describes these difficulties and how they have been dealt with.
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gr-qc 2years
2026 2verdicts
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LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.
citing papers explorer
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Gravitating Tubes Beyond World Line Paradigm In General Relativity
The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
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Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.