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Gutiérrez-Piñeres A.C. Quevedo H. 2020-03-26T16:33:00Z 2020-03-26T16:33:00Z 2019 Classical and Quantum Gravity; Vol. 36, Núm. 13 02649381 https://hdl.handle.net/20.500.12585/9128 10.1088/1361-6382/ab2422 Universidad Tecnológica de Bolívar Repositorio UTB 25225467000 55989741100 We propose a criterion for finding the minimum distance at which an interior solution of Einstein's equations can be matched with an exterior asymptotically flat solution. The location of the matching hypersurface is thus constrained by a criterion defined in terms of the eigenvalues of the Riemann curvature tensor by using repulsive gravity effects. To determine the location of the matching hypersurface, we use the first derivatives of the curvature eigenvalues, implying C 3 differentiability conditions. The matching itself is performed by demanding continuity of the curvature eigenvalues across the matching surface. We apply the C 3 matching approach to spherically symmetric perfect fluid spacetimes and obtain the physically meaningful condition that density and pressure should vanish on the matching surface. Several perfect fluid solutions in Newton and Einstein gravity are tested. © 2019 IOP Publishing Ltd. Recurso electrónico application/pdf eng Institute of Physics Publishing http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/restrictedAccess Atribución-NoComercial 4.0 Internacional https://www.scopus.com/inward/record.uri?eid=2-s2.0-85068694579&doi=10.1088%2f1361-6382%2fab2422&partnerID=40&md5=e7fc1fc70ffe6deedc839882796256e7 C 3 matching for asymptotically flat spacetimes Artículo info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Asymptotically flat spacetimes Curvature eigenvalues Matching conditions Darmois, G., (1927) Les Équations de la Gravitation Einsteinienne, , (Paris: Gauthier-Villars) Lake, K., (2017) Gen. Relativ. Gravit., 49, p. 134 Israel, W., (1966) Il Nuovo Cimento B (1965-1970), 44, pp. 1-14 Stephani, H., Kramer, D., Maccallum, M., Hoenselaers, C., Herlt, E., (2009) Exact Solutions of Einstein's Field Equations, , (Cambridge: Cambridge University Press) Quevedo, H., Matching conditions in relativistic astrophysics (2012) On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. Proc., 12th Marcel Grossmann Meeting on General Relativity, p. 35. , (Paris, France, 12-8 July 2009) ed T Damour et al Luongo, O., Quevedo, H., Toward an invariant definition of repulsive gravity (2012) On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories. Proc., 12th Marcel Grossmann Meeting on General Relativity, p. 1029. , (Paris, France, 12-8 July 2009) ed T Damour et al Luongo, O., Quevedo, H., (2014) Phys. Rev., 90 Luongo, O., Quevedo, H., (2018) Found. Phys., 48, pp. 17-26 Misner, C.W., Thorne, K.S., Wheeler, J.A., (2017) Gravitation, , (Princeton, NJ: Princeton University Press) Savvidou, N., Anastopoulos, C., (2017) Singularity Stars, , ( [gr-qc]) Mannheim, P.D., (1999) ASP Conf. Ser., 182, p. 413 Mannheim, P.D., (1998) Curvature and Cosmic Repulsion, , (arXiv:9803135) Hayasaka, H., Minami, Y., (1999) AIP Conf. Proc., 458, p. 1040 Deser, S., Ryzhov, A.V., (2005) Class. Quantum Grav., 22 (16), p. 3315 Gasperini, M., (1998) Gen. Relativ. Gravit., 30, p. 1703 Liu, C.-Y., Lee, D.S., Lin, C.Y., (2017) Class. Quantum Grav., 34 (23) Novikov, I.D., Bisnovatyi-Kogan, G.S., Novikov, D.I., (2018) Phys. Rev., 98 Phillips, P.R., (2015) Mon. Not. R. Astron. Soc., 448, p. 681 Resca, L., (2018) Eur. J. Phys., 39 (3) Woszczyna, A., Kutschera, M., Kubis, S., Czaja, W., Plaszczyk, P., Golda, Z.A., (2016) Gen. Relativ. Gravit., 48, p. 5 Pugliese, D., Quevedo, H., Ruffini, R., (2013) Phys. Rev., 88 Burinskii, A., (2008) Grav. Cosm., 14, pp. 109-122 Pugliese, D., Quevedo, H., Ruffini, R., (2011) Phys. Rev., 84 Pugliese, D., Quevedo, H., Ruffini, R., (2011) Phys. Rev., 84 Binney, J., Tremaine, S., (2011) Galactic Dynamics, p. 36. , (Princeton, NJ: Princeton University Press) Tolman, R.C., (1939) Phys. Rev., 55, p. 364 Raghoonundun, A.M., Hobill, D.W., (2016) The Geometrical Structure of the Tolman VII Solution, , ( [gr-qc]) Ovalle, J., Linares, F., (2013) Phys. Rev., 88 Macfadden, P., (2006) PhD Thesis, , A signature of higher dimensions at the cosmic singularity http://purl.org/coar/access_right/c_16ec http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_970fb48d4fbd8a85 Publicationmetadata.only