Darmois matching and C 3matching
Gutiérrez-Pineres A.C. Quevedo H.
3 February 2022IOP Publishing Ltd
Classical and Quantum Gravity
2022#39Issue 3
We apply the Darmois and the C 3 matching conditions to three different spherically symmetric spacetimes. The exterior spacetime is described by the Schwarzschild vacuum solution whereas for the interior counterpart we choose different perfect fluid solutions with the same symmetry. We show that Darmois matching conditions are satisfied in all the three cases whereas the C 3 conditions are not fulfilled. We argue that this difference is due to a non-physical behavior of the pressure on the matching surface.
asymptotically flat spacetimes , curvature eigenvalues , Darmois matching conditions , Israel matching conditions , matching conditions
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Escuela de Física, Universidad Industrial de Santander, CP, Bucaramanga, 680002, Colombia
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, Ciudad de México, 04510, Mexico
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, AP 70543, Ciudad de México, 04510, Mexico
Dipartimento di Fisica and ICRA, Universita di Roma Sapienza, Roma, I-00185, Italy
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Escuela de Física
Instituto de Ciencias Nucleares
Instituto de Ciencias Nucleares
Dipartimento di Fisica and ICRA
Institute of Experimental and Theoretical Physics
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