Nastoyaschaya kniga posvyaschena izucheniyu prostranstv, lezhaschih v osnove obschej teorii otnositelnosti, i ih obobschenij dlya lyubogo chisla izmerenij. Uchityvaya, chto v literature po relyativistskoj teorii imeetsya ryad fundamentalnyh monografij, takih, napri- mer, kak kniga L. Landau i E. Lyafshitsa "Teoriya polya" i V. A. Foka "Teoriya prostranstva, vremeni i tyagoteniya", avtor, soznatelno izbegaya povtorenij, ogranichil sebya krugom voprosov, kotorye ne osveschayutsya v etih issledo- vaniyah i kotorye dolzhny predstavlyat interes kak dlya fizikov, tak i dlya matematikov. Etim zhe obyasnyaetsya tot fakt, chto izlozhenie daetsya s uporom na matemati- cheskuyu storonu voprosa, prichem chetyrehmernym pro- stranstvam s signaturoj tipa Lorentsa udelyaetsya osoboe vnimanie. V nastoyaschee vremya imeetsya bolshaya zhurnalnaya li- teratura, v kotoroj nakopilos mnogo novyh rezultatov, neizvestnyh matematikam i fizikam, ne zanimayuschimsya spetsialno voprosami obschej teorii otnositelnosti. Chast etih rezultatov poluchila osveschenie v knige, te zhe voprosy, kotorye po tem ili inym soobrazheniyam ne mogli byt izlozheny, otmecheny v ssylkah na bibliogra- fiyu (kotoruyu avtor stremilsya sdelat po vozmozhnosti pol- noj) i v ryade zadach (nekotorye iz nih trebuyut prostogo primeneniya rezultatov, izlozhennyh v knige, a drugie zaklyuchayut v sebe znachitelnoe rasshirenie teorii). Ostavayas v ramkah obschej teorii otnositelnosti, avtor ne rassmatrivaet v etoj knige razlichnye varianty edinoj teorii, sosredotochivaya vnimanie chitatelya na prob- lemah, po-vidimomu, naibolee perspektivnyh v nastoyaschee vremya; takimi yavlyayutsya, naprimer, primenenie grupp Li k izucheniyu polej gravitatsii, problema Koshi, metody invariantnogo izucheniya prostranstv Ejnshtejna i tomu podobnye. 6 PREDISLOVIE Sovremennoe razvitie teorii otnositelnosti, prived- shee k izucheniyu takih problem, kak gravitatsionnaya radiatsiya, povedenie elementarnyh' chastits v gravitatsion- nom pole, vzaimodejstvie polej i t. d., neobhodimo tre- buet tonkih metodov issledovaniya. Pri napisanii nastoya- schej knigi avtor postavil pered soboj tsel - pomoch chi- tatelyam priblizitsya k takim metodam. Avtor s bolshoj priznatelnostyu otmechaet rabotu, prodelannuyu redaktorom knigi A. F. Lapko, chi sovety i zamechaniya znachitelno povliyali na kachestvo knigi. This book, "Prostranstva Ejnshtejna", by A.Z. Petrov, is a replication of a book originally published before 1961. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible.
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