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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: In this paper, the general solution of Einstein's equations for a stationary cylindrically symmetric distribution of pressure-free matter is obtained. But it contains a function which may be freely prescribed.
Abstract: The general solution of Einstein's equations for a stationary cylindrically symmetric distribution of pressure-free matter is obtained. It contains a function which may be freely prescribed. Using this freedom examples are given of new types of singularity in General Relativity.
22 citations
01 Jan 1984
TL;DR: Algebraic Computing i.e. the use of computers to manipulate formulae, has been used in general relativity since about 1965 and a very early example was the program GRAD ASSISTANT (Fletcher, 1965) that could calculate the Ricci tensor from a given not too complicated metric.
Abstract: Algebraic Computing i.e. the use of computers to manipulate formulae, has been used in general relativity since about 1965. A very early example was the program GRAD ASSISTANT (Fletcher, 1965) that could calculate the Ricci tensor from a given not too complicated metric.
22 citations
TL;DR: In this paper, the authors discuss the postulates of doubly special Relativity and present arguments supporting the hypothesis that DSR can be regarded as a flat space, semiclassical limit of gravity.
Abstract: Doubly Special Relativity (DSR) is a theory with two observer-independent scales, of velocity and mass, which is expected to replace Special Relativity at ultra-high energies. In these notes we first discuss the postulates of DSR, and then turn to presenting arguments supporting the hypothesis that DSR can be regarded as a flat space, semiclassical limit of gravity. The notes are based on the talk presented at the conference ``Special Relativity -- Will it Survive the Next 100 Years?''
22 citations
22 citations
TL;DR: The post-Newtonian effects of general relativity on the equilibrium of uniformly rotating bodies are considered with the aid of a suitably generalized version of the classical tensor virial theorem.
Abstract: The post-Newtonian effects of general relativity on the equilibrium of uniformly rotating bodies are considered with the aid of a suitably generalized version of the classical tensor virial theorem. An exact relation exhibiting the relativistic effects is obtained; and it shows that, if the figure of equilibrium is approximated by a spheroid, the effect of general relativity is to attribute to the spheroid a larger angular velocity than the Newtonian value.
22 citations