INVESTIGADORES
MOLLERACH Maria Silvia
artículos
Título:
Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
Autor/es:
BRUNI, MARCO; MATARRESE, SABINO; MOLLERACH, SILVIA; SONEGO, SEBASTIANO
Revista:
CLASSICAL AND QUANTUM GRAVITY
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 1997 vol. 14 p. 2585 - 2606
ISSN:
0264-9381
Resumen:
We consider in detail the problem of gauge dependence that exists in
relativistic perturbation theory, going beyond the linear approximation
and treating second- and higher-order perturbations. We first derive
some mathematical results concerning the Taylor expansion of tensor
fields under the action of one-parameter families (not necessarily
groups) of diffeomorphisms. Secondly, we define gauge invariance to an
arbitrary order n. Finally, we give a generating formula for the gauge
transformation to an arbitrary order and explicit rules to second and
third order. This formalism can be used in any field of applied general
relativity, such as cosmological and black hole perturbations, as well
as in other spacetime theories. As a specific example, we consider here
second-order perturbations in cosmology, assuming a flat Robertson -
Walker background, giving explicit second-order transformations between
the synchronous and the Poisson (generalized longitudinal) gauges.