Abstract

The remarkable properties of the recently proposed geodesic light-cone (GLC) gauge allow to explicitly solve the geodesic-deviation equation, and thus to derive an exact expression for the Jacobi map $J^A_B(s,o)$ connecting a generic source $s$ to a geodesic observer $o$ in a generic space time. In this gauge $J^A_B$ factorizes into the product of a local quantity at $s$ times one at $o$, implying similarly factorized expressions for the area and luminosity distance. In any other coordinate system $J^A_B$ is simply given by expressing the GLC quantities in terms of the corresponding ones in the new coordinates. This is explicitly done, at first and second order, respectively, for the synchronous and Poisson gauge-fixing of a perturbed, spatially-flat cosmological background, and the consistency of the two outcomes is checked. Our results slightly amend previous calculations of the luminosity-redshift relation and suggest a possible non-perturbative way for computing the effects of inhomogeneities on observations based on light-like signals.

Autore Pugliese

• Gasperini Maurizio

Tutti gli autori

• GASPERINI M.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2013

ISSN

1475-7516

ISBN

Non Disponibile

Numero di citazioni Wos

49

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

50

Ultimo Aggiornamento Citazioni

Non Disponibile

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile