The trace formulas yield the inverse metric formula

Simple item page
dc.creatorSilva, Ronaldo Rodrigues
dc.date1998-05-06
dc.date2000-05-03
dc.date.accessioned2026-07-07T04:32:23Z
dc.date.available2026-07-07T04:32:23Z
dc.descriptionIt is a well-known fact that the first and last non-trivial coefficients of the characteristic polynomial of a linear operator are respectively its trace and its determinant. This work shows how to compute recursively all the coefficients as polynomial functions in the traces of successive powers of the operator. With the aid of Cayley-Hamilton's theorem the trace formulas provide a rational formula for the resolvent kernel and an operator-valued null identity for each finite dimension of the underlying vector space. The 4-dimensional resolvent formula allows an algebraic solution of the inverse metric problem in general relativity.
dc.description11 pages, no figures, LaTeX. The title has been changed in this new version
dc.identifierhttps://arxiv.org/abs/math-ph/9805006
dc.identifierhttp://arxiv.org/abs/math-ph/9805006
dc.identifierJ. Math. Phys. 39 (1998) 6206-6213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58170
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectRings and Algebras
dc.subjectSpectral Theory
dc.subject15A15;15A18;15A24;47A10
dc.titleThe trace formulas yield the inverse metric formula
dc.typetext

Files

Collections

arXiv