C3 Matching Conditions for Anisotropic Fluids

The C 3 approach is an invariant formalism that utilizes the eigenvalues of the Riemann curvature tensor to match spacetimes across a specific matching surface. We apply this approach to match an anisotropic fluid with an exterior vacuum solution, including the case in which discontinuities appear o...

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Bibliographic Details
Published in:International journal of theoretical physics 2024-08, Vol.63 (9)
Main Authors: Gutiérrez-Piñeres, Antonio C., Quevedo, Hernando
Format: Article
Language:English
Subjects:
Anisotropic fluids
Anisotropy
Eigenvalues
Elementary Particles
Exact solutions
Gravitational fields
Matching
Mathematical and Computational Physics
Neutron stars
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Tensors
Theoretical
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Summary:The C 3 approach is an invariant formalism that utilizes the eigenvalues of the Riemann curvature tensor to match spacetimes across a specific matching surface. We apply this approach to match an anisotropic fluid with an exterior vacuum solution, including the case in which discontinuities appear on the matching surface. As a particular example, a class of analytic solutions, which describe the gravitational field of realistic neutron stars, is matched to the exterior Schwarzschild spacetime.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-024-05740-6