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Particle motion in weak relativistic gravitational fields

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posted on 2023-06-08, 12:38 authored by Miki Obradovic, Martin Kunz, Mark HindmarshMark Hindmarsh, Ilian IlievIlian Iliev
We derive the geodesic equation of motion in the presence of weak gravitational fields produced by relativistic sources such as cosmic strings, decomposed into scalar, vector and tensor parts. To test the result, we perform the first N-body simulations with relativistic weak gravitational external fields. Our test case is a moving straight string, for which we recover the well-known result for the impulse on nonrelativistic particles. We find that the vector (gravito-magnetic) force is an essential contributor. Our results mean that it is now possible to incorporate straightforwardly into N-body simulations all weak relativistic sources, including networks of cosmic defects.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review D

ISSN

2470-0010

Publisher

American Physical Society

Issue

6

Volume

86

Page range

064018-064029

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-10-18

First Open Access (FOA) Date

2012-10-18

First Compliant Deposit (FCD) Date

2012-10-17

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