*Four Dimensional Elasticity: Is it General Relativity?*

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Scientific Paper | |
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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.