Two approaches for the gravitational self force in black hole spacetime: comparison of numerical results
Sago, Norichika, Barack, Leor and Detweiler, Steven (2008) Two approaches for the gravitational self force in black hole spacetime: comparison of numerical results. Physical Review D, 78, (12), 124024[9pp]. (doi:10.1103/PhysRevD.78.124024).
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Description/Abstract
Recently, two independent calculations have been presented of finitemass (“selfforce”) effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard modesum method, they differ in several technical aspects, which makes comparison between their results difficult—but also interesting. Barack and Sago [Phys. Rev. D 75, 064021 (2007)] invoke the notion of a selfaccelerated motion in a background spacetime, and perform a direct calculation of the local selfforce in the Lorenz gauge (using numerical evolution of the perturbation equations in the time domain); Detweiler [Phys. Rev. D 77, 124026 (2008)] describes the motion in terms a geodesic orbit of a (smooth) perturbed spacetime, and calculates the metric perturbation in the ReggeWheeler gauge (using frequencydomain numerical analysis). Here we establish a formal correspondence between the two analyses, and demonstrate the consistency of their numerical results. Specifically, we compare the value of the conservative O(?) shift in ut (where ? is the particle’s mass and ut is the Schwarzschild t component of the particle’s fourvelocity), suitably mapped between the two orbital descriptions and adjusted for gauge. We find that the two analyses yield the same value for this shift within mere fractional differences of ?105–107 (depending on the orbital radius)—comparable with the estimated numerical error.
Item Type:  Article  

Digital Object Identifier (DOI):  doi:10.1103/PhysRevD.78.124024  
ISSNs:  15507998 (print) 10894918 (electronic) 

Subjects:  Q Science > QA Mathematics Q Science > QC Physics 

Divisions :  University Structure  Pre August 2011 > School of Mathematics > Applied Mathematics 

ePrint ID:  63997  
Accepted Date and Publication Date: 


Date Deposited:  24 Nov 2008  
Last Modified:  31 Mar 2016 12:48  
URI:  http://eprints.soton.ac.uk/id/eprint/63997 
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