Spherically Symmetric Solutions in Macroscopic Gravity

dc.creatorHoogen, R. J. van den
dc.date2007-10-09
dc.date2008-02-19
dc.date.accessioned2026-07-07T11:53:28Z
dc.date.available2026-07-07T11:53:28Z
dc.descriptionSchwarzschild's solution to the Einstein Field Equations was one of the first and most important solutions that lead to the understanding and important experimental tests of Einstein's theory of General Relativity. However, Schwarzschild's solution is essentially based on an ideal theory of gravitation, where all inhomogeneities are ignored. Therefore, any generalization of the Schwarzschild solution should take into account the effects of small perturbations that may be present in the gravitational field. The theory of Macroscopic Gravity characterizes the effects of the inhomogeneities through a non-perturbative and covariant averaging procedure. With similar assumptions on the geometry and matter content, a solution to the averaged field equations as dictated by Macroscopic Gravity are derived. The resulting solution provides a possible explanation for the flattening of galactic rotation curves, illustrating that Dark Matter is not real but may only be the result of averaging inhomogeneities in a spherically symmetric background.
dc.description14 pages, added and updated references, some paragraphs rewritten for clarity, typographical errors fixed, results have not changed
dc.identifierhttps://arxiv.org/abs/0710.1823
dc.identifierhttp://arxiv.org/abs/0710.1823
dc.identifierGen.Rel.Grav.40:2213-2227,2008
dc.identifierdoi:10.1007/s10714-008-0628-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204550
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleSpherically Symmetric Solutions in Macroscopic Gravity
dc.typetext

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