منابع مشابه
Self-similarity in General Relativity
The different kinds of self-similarity in general relativity are discussed, with special emphasis on similarity of the " first " kind, corresponding to spacetimes admitting a ho-mothetic vector. We then survey the various classes of self-similar solutions to Einstein's field equations and the different mathematical approaches used in studying them. We focus mainly on spatially homogenous and sp...
متن کاملThe Similarity Hypothesis in General Relativity
Self-similar models are important in general relativity and other fundamental theories. In this paper we shall discuss the “similarity hypothesis”, which asserts that under a variety of physical circumstances solutions of these theories will naturally evolve to a self-similar form. We will find there is good evidence for this in the context of both spatially homogenous and inhomogeneous cosmolo...
متن کاملKinematic self-similar solutions in general relativity
The gravitational interaction is scale-free in both Newtonian gravity and general theory of relativity. The concept of self-similarity arises from this nature. Self-similar solutions reproduce themselves as the scale changes. This property results in great simplification of the governing partial differential equations. In addition, some self-similar solutions can describe the asymptotic behavio...
متن کاملPrediction in general relativity
Several authors have claimed that prediction is essentially impossible in the general theory of relativity, the case being particularly strong, it is said, when one fully considers the epistemic predicament of the observer. Each of these claims rests on the support of an underdetermination argument and a particular interpretation of the concept of prediction. I argue that these underdeterminati...
متن کاملA general theory of self-similarity I
Consider a self-similar space X . A typical situation is that X looks like several copies of itself glued to several copies of another space Y , and Y looks like several copies of itself glued to several copies of X , or the same kind of thing with more than two spaces. Thus, the self-similarity of X is described by a system of simultaneous equations. Here I formalize this idea and the notion o...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1999
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/16/7/201