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Modal Series Expansions for Plane Gravitational Waves

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Modal Series Expansions for Plane Gravitational Waves

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dc.contributor.author Acedo Rodríguez, Luis es_ES
dc.date.accessioned 2017-05-23T06:56:23Z
dc.date.available 2017-05-23T06:56:23Z
dc.date.issued 2016-07
dc.identifier.issn 0202-2893
dc.identifier.uri http://hdl.handle.net/10251/81620
dc.description.abstract [EN] Propagation of gravitational disturbances at the speed of light is one of the key predictions of the General Theory of Relativity. This result is now backed indirectly by the observations of the behavior of the ephemeris of binary pulsar systems. These new results have increased the interest in the mathematical theory of gravitational waves in the last decades, and severalmathematical approaches have been developed for a better understanding of the solutions. In this paper we develop a modal series expansion technique in which solutions can be built for plane waves from a seed integrable function. The convergence of these series is proven by the Raabe-Duhamel criteria, and we show that these solutions are characterized by a well-defined and finite curvature tensor and also a finite energy content. es_ES
dc.language Inglés es_ES
dc.publisher MAIK Nauka/Interperiodica (МАИК Наука/Интерпериодика) es_ES
dc.relation.ispartof Gravitation and Cosmology es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Gravitational waves es_ES
dc.subject Modal expansions es_ES
dc.title Modal Series Expansions for Plane Gravitational Waves es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1134/S0202289316030026
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària es_ES
dc.description.bibliographicCitation Acedo Rodríguez, L. (2016). Modal Series Expansions for Plane Gravitational Waves. Gravitation and Cosmology. 22(3):251-257. doi:10.1134/S0202289316030026 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1134/S0202289316030026 es_ES
dc.description.upvformatpinicio 251 es_ES
dc.description.upvformatpfin 257 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 3 es_ES
dc.relation.senia 328302 es_ES
dc.identifier.eissn 1995-0721
dc.description.references A. Einstein and N. Rosen, Journal of the Franklin Institute 223, 43–54 (1937). es_ES
dc.description.references N. Rosen, Gen. Rel. Grav. 10, 351–364 (1979). es_ES
dc.description.references C. Sivaram, Bull. Astr. Soc. India 23, 77–83 (1995). es_ES
dc.description.references J. M. Weisberg, D. J. Nice, and J. H. Taylor, Astroph. J. 722, 1030–1034(2010); arXiv: 1011.0718. es_ES
dc.description.references B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 116, 061102 (2016). es_ES
dc.description.references J. B. Griffiths, Colliding waves in general relativity (Clarendon, Oxford, 1991). es_ES
dc.description.references S. Chandrasekhar, The mathematical theory of black holes (Clarendon, Oxford, 1983). es_ES
dc.description.references D. Bini, V. Ferrari and J. Ibañez, Nuovo Cim. B 103, 29–44 (1989). es_ES
dc.description.references L. Acedo, G. González-Parra, and A. J. Arenas, Nonlinear Analysis: Real World Applications 11, 1819–1825 (2010). es_ES
dc.description.references L. Acedo, G. González-Parra, and A. J. Arenas, Physica A 389, 1151–1157 (2010). es_ES
dc.description.references G. González-Parra, L. Acedo, and A. J. Arenas, Numerical Algorithms, published online 2013. doi 10.1007/s11075-013-9776-x es_ES
dc.description.references W. Rindler, Relativity: Special, General and Cosmological, 2nd ed. (Oxford Univ., New York, 2006). es_ES
dc.description.references G. Arfken, Mathematical Methods for Physicists, 3rd. ed. (Academic, Orlando, Florida, 1985). es_ES
dc.description.references L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 3rd ed. (Pergamon, New York, 1971). es_ES
dc.description.references O. Costin, “Topological construction of transseries and introduction to generalized Borel summability,” in Analyzable Functions and Applications, Ed. by O. Costin, M. D. Kruskal, and A. Macintyre, Contemp. Math. 373 (Providence, RI, USA: Am. Math. Soc., 2005); arXiv: math/0608309. es_ES
dc.description.references S. R. Coleman, Phys. Lett. B 70, 59–60 (1977). es_ES
dc.description.references W. B. Campbell and T. A. Morgan, Phys. Lett. B 84, 87–88 (1979). es_ES
dc.description.references A. S. Rabinowitch, Int. J. Adv. Math. Sciences 1 (3), 109–121 (2013). es_ES
dc.description.references A. Feinstein and J. Ibañez, Phys. Rev. D 39 (2), 470–473 (1989). es_ES


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