3+1 geodesic equation and images in numerical spacetimes - INSPIRE

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3+1 geodesic equation and images in numerical spacetimes

Frederic H. Vincent
(
- Meudon Observ. and
- LUTH, Meudon
)
,
Eric Gourgoulhon
(
- LUTH, Meudon
)
,
Jerome Novak
(
- LUTH, Meudon
)

Aug, 2012

20 pages

Published in:

Class.Quant.Grav. 29 (2012) 245005

e-Print:

1208.3927 [gr-qc]

DOI:

10.1088/0264-9381/29/24/245005

View in:

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Abstract: (arXiv)

The equations governing null and timelike geodesics are derived within the 3+1 formalism of general relativity. In addition to the particle's position, they encompass an evolution equation for the particle's energy leading to a 3+1 expression of the redshift factor for photons. An important application is the computation of images and spectra in spacetimes arising from numerical relativity, via the ray-tracing technique. This is illustrated here by images of numerically computed stationary neutron stars and dynamical neutron stars collapsing to a black hole.

Note:

20 pages, 4 figures, accepted by CQG, with substantial improvements from referees remarks

04.25.D-
95.30.Sf

References(33)

Figures(8)

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