Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
The motion of point particles in curved spacetime
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
This review is concerned with the motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime. In each of the three cases the particle produces a field that behaves as outgoing radiation in the wave zone, and therefore removes energy from the particle. In the near zone the field acts on the particle and gives rise to a self-force that prevents the particle from moving on a geodesic of the background spacetime. The field's action on the particle is difficult to calculate because of its singular nature: the field diverges at the position of the particle. But it is possible to isolate the field's singular part and show that it exerts no force on the particle -- its only effect is to contribute to the particle's inertia. What remains after subtraction is a smooth field that is fully responsible for the self-force. Because this field satisfies a homogeneous wave equation, it can be thought of as a free (radiative) field that interacts with the particle; it is this interaction that gives rise to the self-force. The mathematical tools required to derive the equations of motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime are developed here from scratch. The review begins with a discussion of the basic theory of bitensors (part I). It then applies the theory to the construction of convenient coordinate systems to chart a neighbourhood of the particle's word line (part II). It continues with a thorough discussion of Green's functions in curved spacetime (part III). The review concludes with a detailed derivation of each of the three equations of motion (part IV).
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A new multi-scale hierarchical framework in GR uses matter horizons to extend perturbation theory beyond shell-crossing by gluing spacetimes with opposite orientation.
First-order self-force analytic result for the total radiated energy of a radial infall from rest in Schwarzschild spacetime, for scalar and gravitational cases.
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
Numerical study finds that a deviation parameter in a regular black hole with Minkowski core produces phase shifts and amplitude changes in kludge waveforms from periodic orbits, making them distinguishable from Schwarzschild for larger deviations and certain orbit types.
citing papers explorer
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Gravitational edge mode powers galaxy flat rotation curves
Gravitational edge modes from spacetime surgery act as effective dark matter by flattening galaxy rotation curves through modified particle trajectories.
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An essential building block for cosmological zoom-in perturbation theory
A new multi-scale hierarchical framework in GR uses matter horizons to extend perturbation theory beyond shell-crossing by gluing spacetimes with opposite orientation.
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Analytic self-force effects on radial infalling particles in the Schwarzschild spacetime: the radiated energy
First-order self-force analytic result for the total radiated energy of a radial infall from rest in Schwarzschild spacetime, for scalar and gravitational cases.
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Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework
A covariant zoom-in perturbation theory framework resolves geodesic breakdown via hierarchical matter horizons, producing an effective energy-momentum tensor whose backreaction explains flat galaxy rotation curves without dark matter.
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Gravitational waveforms from periodic orbits around a novel regular black hole
Numerical study finds that a deviation parameter in a regular black hole with Minkowski core produces phase shifts and amplitude changes in kludge waveforms from periodic orbits, making them distinguishable from Schwarzschild for larger deviations and certain orbit types.