Regularization of fields for self-force problems in curved spacetime: foundations and a time-domain application
| Autor: | Vega, Ian, Detweiler, Steven |
|---|---|
| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Phys.Rev.D77:084008,2008 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.77.084008 |
| Popis: | We propose an approach for the calculation of self-forces, energy fluxes and waveforms arising from moving point charges in curved spacetimes. As opposed to mode-sum schemes that regularize the self-force derived from the singular retarded field, this approach regularizes the retarded field itself. The singular part of the retarded field is first analytically identified and removed, yielding a finite, differentiable remainder from which the self-force is easily calculated. This regular remainder solves a wave equation which enjoys the benefit of having a non-singular source. Solving this wave equation for the remainder completely avoids the calculation of the singular retarded field along with the attendant difficulties associated with numerically modeling a delta function source. From this differentiable remainder one may compute the self-force, the energy flux, and also a waveform which reflects the effects of the self-force. As a test of principle, we implement this method using a 4th-order (1+1) code, and calculate the self-force for the simple case of a scalar charge moving in a circular orbit around a Schwarzschild black hole. We achieve agreement with frequency-domain results to ~ 0.1% or better. Comment: 15 pages, 12 figures, 1 table. More figures, extended summary |
| Databáze: | arXiv |
| Externí odkaz: |
|