Difference between revisions of "Four Dimensional Elasticity: Is it General Relativity?"
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| − | The purpose of this paper is to show that it is possible to describe the space-time as a four dimensional elastic medium. This, when unstressed, has a Eudlidean metric, when stressed however it may change its metric, acquire curvature and in general display features typical of the general relativistic space-time with and without gravitational interaction. In particular we shall see that under a uniaxial stress it is possible to recover the Minkowski metric, provided the elastic parameters of the medium satisfy appropriate but rather loose conditions. Similarly we shall show that a simple stress pattern produces the Friedman-Robertson-Walker universe.[[Category:Scientific Paper]] | + | The purpose of this paper is to show that it is possible to describe the space-time as a four dimensional elastic medium. This, when unstressed, has a Eudlidean metric, when stressed however it may change its metric, acquire curvature and in general display features typical of the general relativistic space-time with and without gravitational interaction. In particular we shall see that under a uniaxial stress it is possible to recover the Minkowski metric, provided the elastic parameters of the medium satisfy appropriate but rather loose conditions. Similarly we shall show that a simple stress pattern produces the Friedman-Robertson-Walker universe. |
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| + | [[Category:Scientific Paper|dimensional elasticity general relativity]] | ||
[[Category:Relativity]] | [[Category:Relativity]] | ||
Revision as of 10:26, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | Four Dimensional Elasticity: Is it General Relativity? |
| Author(s) | Angelo Tartaglia |
| Keywords | four dimensional, elasticity, general relativity, space-time, gravitational, stress, metric |
| Published | 1994 |
| Journal | None |
| Pages | 147-152 |
Abstract
The purpose of this paper is to show that it is possible to describe the space-time as a four dimensional elastic medium. This, when unstressed, has a Eudlidean metric, when stressed however it may change its metric, acquire curvature and in general display features typical of the general relativistic space-time with and without gravitational interaction. In particular we shall see that under a uniaxial stress it is possible to recover the Minkowski metric, provided the elastic parameters of the medium satisfy appropriate but rather loose conditions. Similarly we shall show that a simple stress pattern produces the Friedman-Robertson-Walker universe.
