GENERALIZED SPACES OF GENERAL RELATIVITY, II
نویسندگان
چکیده
منابع مشابه
Generalized Riemann Spaces and General Relativity.
spectrum of K, and fixed t > 0. As a consequence, u(-, t) lies in the range of (K tI), and by Theorem 3 of Paper I, after a replacement on a set of measure zero, u(-, t) lies in C"T(D). If Eg(x) is the smooth representative of its equivalence class in L2' r(D), for any Borel set A in El lying in the interval XI < a, by Theorem 3 of Paper I, IE(A)g(x)I = I(K, I)-j(K R I)jE(A)g(x)I < C(oaI + I I)...
متن کاملPointless Spaces in General Relativity
The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points. The spatialization procedure giving rise to points by loosing a part of the entire structure is discussed. The counterpart of the traditional objects of differential geometry are studied. FOREWORD In...
متن کاملPart II General Relativity
1 Part II: Introduction General Relativity (16 lectures) 2 1.1 Pre-requisites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 The Schedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 Units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.4 Signature Convention . . . . . . . . . . . . . . . . . . . . . . . . 2 1.5 Curvature Conventions ....
متن کاملGeneral relativity histories theory II : Invariance groups
In this paper we show in detail how the histories description of general relativity carries representations of both the spacetime diffeomorphisms group and the Dirac algebra of constraints. We show that the introduction of metric-dependent equivariant foliations leads to the crucial result that the canonical constraints are invariant under the action of spacetime diffeomorphisms. Furthermore, t...
متن کاملii Cauchy - Characteristic Matching In General Relativity
The problem of self-gravitating, isolated systems is undoubtedly an important and intriguing area of research in General Relativity. However, due to the involved nature of Einstein's equations physicists found themselves unable to fully explore such systems. From Einstein's theory we know that besides the electromagnetic spectrum , objects like quasars, active galactic nuclei, pulsars and black...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1960
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.46.12.1602