Nonvanishing Local Scalar Invariants even in VSI Spacetimes with all Polynomial Curvature Scalar Invariants Vanishing

Simple item page
dc.creatorPage, Don N.
dc.date2008-06-12
dc.date2009-02-05
dc.date.accessioned2026-07-07T12:43:53Z
dc.date.available2026-07-07T12:43:53Z
dc.descriptionVSI (`vanishing scalar invariant') spacetimes have zero values for all total scalar contractions of all polynomials in the Riemann tensor and its covariant derivatives. However, there are other ways of concocting local scalar invariants (nonpolynomial) from the Riemann tensor that need not vanish even in VSI spacetimes, such as Cartan invariants. Simple examples are given that reduce to the squared amplitude for a linearized monochromatic plane gravitational wave. These nonpolynomial local scalar invariants are also evaluated for non-VSI spacetimes such as Schwarzschild and Kerr and are estimated near the surface of the earth. Similar invariants are defined for null fluids and for electromagnetic fields.
dc.description9 pages, LaTeX, proofread version accepted 2009 January 14 for publication in Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0806.2144
dc.identifierhttp://arxiv.org/abs/0806.2144
dc.identifierClass.Quant.Grav.26:055016,2009
dc.identifierdoi:10.1088/0264-9381/26/5/055016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220575
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleNonvanishing Local Scalar Invariants even in VSI Spacetimes with all Polynomial Curvature Scalar Invariants Vanishing
dc.typetext

Files

Collections

arXiv