[1] |
C.W. Misner, K. Thorne and J. Wheeler, Gravitation, W.H. Freeman, San Francisco, CA, U.S.A. (1973). |
[2] |
K. Lanczos, Flächenhafte Verteilung der Materie in der Einsteinschen Gravitationstheorie, Annalen Phys.379 (1924) 518. · JFM 50.0584.02 · doi:10.1002/andp.19243791403 |
[3] |
G. Darmois, Les équations de la gravitation einsteinienne, Gauthier-Villars Paris (1927). · JFM 53.0816.03 |
[4] |
A. Lichnerowicz, Théories relativistes de la gravitation et de l’électromagnétisme: relativité générale et théories unitaires, Masson, Paris (1955). · Zbl 0065.20704 |
[5] |
S. O’Brien and J.L. Synge, Jump conditions at discontinuities in general relativity, in Communications of the Dublin Institute for Advanced Studies A9, Dublin Institute for Advanced Studies, Dublin, Ireland (1952), pp. 1-20. · Zbl 0047.20802 |
[6] |
L. Bel and A. Hamoui, Les conditions de raccordement en relativité générale, Ann. Inst. Henri Poincaré Phys. Theor.7 (1967) 229. · Zbl 0192.28103 |
[7] |
Taub, A. H., SPACE-TIMES WITH DISTRIBUTION VALUED CURVATURE TENSORS, J. Math. Phys., 21, 1423-1431 (1980) · doi:10.1063/1.524568 |
[8] |
W.B. Bonnor and P.A. Vickers, Junction conditions in general relativity, Gen. Rel. Grav.13 (1981) 29. · doi:10.1007/bf00766295 |
[9] |
C.J.S. Clarke and T. Dray, Junction conditions for null hypersurfaces, Class. Quant. Grav.4 (1987) 265. · Zbl 0609.53033 · doi:10.1088/0264-9381/4/2/010 |
[10] |
C. Barrabes, Singular hypersurfaces in general relativity: a unified description, Class. Quant. Grav.6 (1989) 581. · Zbl 0672.53027 · doi:10.1088/0264-9381/6/5/003 |
[11] |
Mars, Marc; Senovilla, José M. M., Geometry of general hypersurfaces in space-time: Junction conditions, Class. Quant. Grav., 10, 1865-1897 (1993) · Zbl 0786.53014 · doi:10.1088/0264-9381/10/9/026 |
[12] |
Israel, W., Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B, 44S10, 1 (1966) · doi:10.1007/BF02710419 |
[13] |
Barrabes, C.; Israel, W., Thin shells in general relativity and cosmology: The Lightlike limit, Phys. Rev. D, 43, 1129-1142 (1991) · doi:10.1103/PhysRevD.43.1129 |
[14] |
Deruelle, Nathalie; Sasaki, Misao; Sendouda, Yuuiti, Junction conditions in f(R) theories of gravity, Prog. Theor. Phys., 119, 237-251 (2008) · Zbl 1152.83019 · doi:10.1143/PTP.119.237 |
[15] |
Clifton, Timothy; Dunsby, Peter; Goswami, Rituparno; Nzioki, Anne Marie, On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy, Phys. Rev. D, 87 (2013) · doi:10.1103/PhysRevD.87.063517 |
[16] |
Senovilla, José M. M., Junction conditions for F(R)-gravity and their consequences, Phys. Rev. D, 88 (2013) · doi:10.1103/PhysRevD.88.064015 |
[17] |
Casado-Turrión, Adrián; de la Cruz-Dombriz, Álvaro; Dobado, Antonio, Is gravitational collapse possible in f(R) gravity?, Phys. Rev. D, 105 (2022) · doi:10.1103/PhysRevD.105.084060 |
[18] |
Vignolo, Stefano; Cianci, Roberto; Carloni, Sante, On the junction conditions in f(R)-gravity with torsion, Class. Quant. Grav., 35 (2018) · Zbl 1391.83098 · doi:10.1088/1361-6382/aab6fe |
[19] |
Olmo, Gonzalo J.; Rubiera-Garcia, Diego, Junction conditions in Palatini f(R) gravity, Class. Quant. Grav., 37 (2020) · Zbl 1479.83206 · doi:10.1088/1361-6382/abb924 |
[20] |
Rosa, João Luís; Lemos, José P. S., Junction conditions for generalized hybrid metric-Palatini gravity with applications, Phys. Rev. D, 104 (2021) · doi:10.1103/PhysRevD.104.124076 |
[21] |
Rosa, João Luís, Junction conditions and thin shells in perfect-fluid f(R,T) gravity, Phys. Rev. D, 103 (2021) · doi:10.1103/PhysRevD.103.104069 |
[22] |
Rosa, João Luís; Rubiera-Garcia, Diego, Junction conditions of Palatini f(R,T) gravity, Phys. Rev. D, 106 (2022) · doi:10.1103/PhysRevD.106.064007 |
[23] |
Reina, Borja; Senovilla, José M. M.; Vera, Raül, Junction conditions in quadratic gravity: thin shells and double layers, Class. Quant. Grav., 33 (2016) · Zbl 1338.83159 · doi:10.1088/0264-9381/33/10/105008 |
[24] |
Padilla, Antonio; Sivanesan, Vishagan, Boundary Terms and Junction Conditions for Generalized Scalar-Tensor Theories, JHEP, 08, 122 (2012) · Zbl 1397.83107 · doi:10.1007/JHEP08(2012)122 |
[25] |
de la Cruz-Dombriz, Álvaro; Dunsby, Peter K. S.; Saez-Gomez, Diego, Junction conditions in extended Teleparallel gravities, JCAP, 12 (2014) · doi:10.1088/1475-7516/2014/12/048 |
[26] |
Arkuszewski, W.; Kopczynski, W.; Ponomarev, V. N., Matching Conditions in the Einstein-Cartan Theory of Gravitation, Commun. Math. Phys., 45, 183-190 (1975) · doi:10.1007/BF01629248 |
[27] |
Macias, Alfredo; Lammerzahl, Claus; Pimentel, Luis O., Matching conditions in metric affine gravity, Phys. Rev. D, 66 (2002) · doi:10.1103/PhysRevD.66.104013 |
[28] |
D. Sciama, Recent developments in general relativity, Pergamon Press, Oxford, U.K. (1963). |
[29] |
Kibble, T. W. B.; Hsu, Jong-Ping; Fine, D., Lorentz invariance and the gravitational field, J. Math. Phys., 2, 212-221 (1961) · Zbl 0095.22903 · doi:10.1063/1.1703702 |
[30] |
Blagojević, Milutin; Hehl, Friedrich W., Gauge Theories of Gravitation: A Reader with Commentaries (2013), World Scientific · Zbl 1282.83046 |
[31] |
M. Blagojević, Gravitation and gauge symmetries, CRC Press (2001). · Zbl 0980.83002 |
[32] |
Obukhov, Yuri N., Poincare gauge gravity: Selected topics, Int. J. Geom. Meth. Mod. Phys., 3, 95-138 (2006) · doi:10.1142/S021988780600103X |
[33] |
Wald, Robert M., General Relativity (1984), Chicago University Press · Zbl 0549.53001 |
[34] |
McCrea, J. D., Irreducible decompositions of non-metricity, torsion, curvature and Bianchi identities in metric affine space-times, Class. Quant. Grav., 9, 553-568 (1992) · Zbl 0744.53052 · doi:10.1088/0264-9381/9/2/018 |
[35] |
Beltrán Jiménez, Jose; Maldonado Torralba, Francisco José, Revisiting the stability of quadratic Poincaré gauge gravity, Eur. Phys. J. C, 80, 611 (2020) · doi:10.1140/epjc/s10052-020-8163-8 |
[36] |
E. Poisson, A relativist’s toolkit: the mathematics of black-hole mechanics, Cambridge University Press (2004). · Zbl 1058.83002 |
[37] |
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with formulas, Graphs, and Mathematical Tables, in National Bureau of Standards Applied Mathematics Series55, tenth printing, ERIC (1972). · Zbl 0543.33001 |
[38] |
Senovilla, José M. M., Double layers in gravity theories, J. Phys. Conf. Ser., 600 (2015) · doi:10.1088/1742-6596/600/1/012004 |
[39] |
J.M. Martin-Garcia et al., xAct: Efficient tensor computer algebra for the Wolfram Language, version 1.2.0 (2021) and online at http://www.xact.es. |