Quasilocal contribution to the scalar self-force: nongeodesic motion. (English) Zbl 1222.83034
Summary: We extend our previous calculation of the quasilocal contribution to the self-force on a scalar particle to general (not necessarily geodesic) motion in a general spacetime. In addition to the general case and the case of a particle at rest in a stationary spacetime, we consider as examples a particle held at rest in Reissner-Nordström and Kerr-Newman spacetimes. This allows us to most easily analyze the effect of nongeodesic motion on our previous results and also allows for comparison to existing results for Schwarzschild spacetime.
MSC:
| 83C10 | Equations of motion in general relativity and gravitational theory |
References:
| [1] | DOI: 10.1103/PhysRevD.77.104002 · doi:10.1103/PhysRevD.77.104002 |
| [2] | DOI: 10.1103/PhysRevD.69.064039 · doi:10.1103/PhysRevD.69.064039 |
| [3] | DOI: 10.1103/PhysRevD.75.129901 · doi:10.1103/PhysRevD.75.129901 |
| [4] | DOI: 10.1103/PhysRevD.77.089901 · doi:10.1103/PhysRevD.77.089901 |
| [5] | DOI: 10.1088/0264-9381/22/15/010 · Zbl 1076.83004 · doi:10.1088/0264-9381/22/15/010 |
| [6] | DOI: 10.1103/PhysRevD.61.084014 · doi:10.1103/PhysRevD.61.084014 |
| [7] | C.W. Misner, in: Gravitation (1973) |
| [8] | DOI: 10.1103/PhysRevD.62.064029 · doi:10.1103/PhysRevD.62.064029 |
| [9] | E. Poisson, Living Rev. Relativity 7 pp 6– (2004) ISSN: http://id.crossref.org/issn/1433-8351 · Zbl 1071.83011 · doi:10.12942/lrr-2004-6 |
| [10] | J. Hadamard, in: Lectures on Cauchy’s Problem in Linear Partial Differential Equations (1952) · Zbl 0049.34805 |
| [11] | J. Hadamard, in: Lectures on Cauchy’s Problem in Linear Partial Differential Equations (1923) · JFM 49.0725.04 · doi:10.1063/1.3061337 |
| [12] | F.G. Friedlander, in: The Wave Equation on a Curved Space-time (1975) · doi:10.1063/1.3023428 |
| [13] | J.L. Synge, in: Relativity: The General Theory (1960) |
| [14] | B.S. DeWitt, in: Dynamical Theory of Groups and Fields (1965) · Zbl 0169.57101 |
| [15] | DOI: 10.1103/PhysRevD.73.044027 · doi:10.1103/PhysRevD.73.044027 |
| [16] | I. Gradshteyn, in: Table of Integrals, Series, and Products (2007) · Zbl 1208.65001 |
| [17] | C.B. Boyer, J. Math. Phys. (N.Y.) 8 pp 265– (1967) ISSN: http://id.crossref.org/issn/0022-2488 · Zbl 0149.23503 · doi:10.1063/1.1705193 |
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