内容简介
Canonicalmethodsareapowerfulmathematicaltoolwithinthefieldofgravitationalresearch,boththeoreticalandexperimental,andhavecontributedtoanumberofrecentdevelopmentsinphysics.Providingmathematicalfoundationsaswellasphysicalapplications,thisisthefirstsystematicexplanationofcanonicalmethodsingravity.Thebookdiscussesthemathematicalandgeometricalnotionsunderlyingcanonicaltools,highlightingtheirapplicationsinallaspectsofgravitationalresearchfromadvancedmathematicalfoundationstomodernapplicationsincosmologyandblackholephysics.Themaincanonicalformulations,includingtheArnowitt-Deser-Misner(ADM)formalismandAshtekarvariables,arederivedanddiscussed.Idealforbothgraduatestudentsandresearchers,thisbookprovidesalinkbetweenstandardintroductionstogeneralrelativityandadvancedexpositionsofblackholephysics,theoreticalcosmologyorquantumgravity.