Erratum: The Gravitational Radiation Emitted by a System Consisting of a Point Particle in Close Orbit around a Schwarzschild Black Hole

Abstract

We correct from the previous paper: the first, second and third order derivatives of the Bondi metric function J at the ISCO of the binary system consisting of a Schwarzschild black hole and a point particle. Previously, these derivatives where not correctly determined and that resulted in the incorrect determination of the emitted gravitational radiation at null infinity. The now correctly calculated gravitational radiation is now in full agreement with that obtained by the standard 5.5 PN formalism to about ninety eight percent. The small percentage difference observed is due to the slow convergence property of the PN formalism as compared to the null cone formalism, otherwise the results are basically the same.

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A. Kubeka, "Erratum: The Gravitational Radiation Emitted by a System Consisting of a Point Particle in Close Orbit around a Schwarzschild Black Hole," Journal of Modern Physics, Vol. 4 No. 8, 2013, pp. 1119-1122. doi: 10.4236/jmp.2013.48150.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[2] E. Poisson, Physical Review D, Vol. 47, 1993, p. 1497.
[3] M. Sasaki and H. Tagoshi, Living Reviews in Relativity, Vol. 6, 2003, p. 6. doi:10.12942/lrr-2003-6

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