Simultaneity and generalized connections in general relativity
نویسندگان
چکیده
منابع مشابه
Lightlike simultaneity, comoving observers and distances in general relativity
We state a condition for an observer to be comoving with another observer in general relativity, based on the concept of lightlike simultaneity. Taking into account this condition, we study relative velocities, Doppler effect and light aberration. We obtain that comoving observers observe the same light ray with the same frequency and direction, and so gravitational redshift effect is a particu...
متن کاملSpecial Relativity With Apparent Simultaneity
An interpretation of special relativity is presented with alternative principles that treat an appearance of simultaneity as physically real. This implies instantaneous propagation of incoming light, but maintains light’s invariable propagation rate of c by using an alternative measure of speed. The relativistic Doppler effect is derived from physical principles based on the direct appearance o...
متن کاملNonlinear Connections and Nearly Autoparallel Maps in General Relativity
We apply the method of moving anholonomic frames, with associated nonlinear connections, in (pseudo) Riemannian spaces and examine the conditions when various types of locally anisotropic (la) structures (Lagrange, Finsler like and more general ones) could be modeled in general relativity. New classes of solutions of the Einstein equations with generic local anisotropy are constructed. We formu...
متن کاملGeneralized 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 کاملReal-polynomial formulation of general relativity in terms of connections.
I show in this letter that it is possible to construct a Hamiltonian description for Lorentzian General Relativity in terms of two real SO(3) connections. The constraints are simple polynomials in the basic variables. The present framework gives us a new formulation of General Relativity that keeps some of the interesting features of the Ashtekar formulation without the complications associated...
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: Classical and Quantum Gravity
سال: 2003
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/20/11/332