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This article is cited in 8 scientific papers (total in 8 papers)
Dimensional reduction of gravity and relation between static states,
cosmologies, and waves
V. De Alfaroabc, A. T. Filippovd a INFN — National Institute of Nuclear Physics
b Dipartimento di Fisica Teorica, Università degli Studi di Torino
c Accademia delle Scienze di Torino
d Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Abstract:
We introduce generalized dimensional reductions of an integrable
$(1+1)$-dimensional dilaton gravity coupled to matter down to
one-dimensional static states (black holes in particular),
cosmological models, and waves. An unusual feature of these reductions is
that the wave solutions depend on two variables: space and time. They
are obtained here both by reducing the moduli space (available because
of complete integrability) and by a generalized separation of variables
(also applicable to nonintegrable models and to higher-dimensional
theories). Among these new wavelike solutions, we find a class of
solutions for which the matter fields are finite everywhere in space–time,
including infinity. These considerations clearly demonstrate that a deep
connection exists between static states, cosmologies, and waves. We argue
that it should also exist in realistic higher-dimensional theories. Among
other things, we also briefly outline the relations existing between the
low-dimensional models that we discuss here and the realistic
higher-dimensional ones.
Keywords:
dilaton gravity, dimensional reduction, cosmology, integrable model, separation of variables, gravity wave, supergravity.
Received: 19.01.2007
Citation:
V. De Alfaro, A. T. Filippov, “Dimensional reduction of gravity and relation between static states,
cosmologies, and waves”, TMF, 153:3 (2007), 422–452; Theoret. and Math. Phys., 153:3 (2007), 1709–1731
Linking options:
https://www.mathnet.ru/eng/tmf6146https://doi.org/10.4213/tmf6146 https://www.mathnet.ru/eng/tmf/v153/i3/p422
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Abstract page: | 510 | Full-text PDF : | 297 | References: | 58 | First page: | 1 |
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