### Abstract

We consider covariant metric theories of coupled gravity-matter systems satisfying the following two conditions: first, it is assumed that, by a hyperbolic reduction process, a system of first-order symmetric hyperbolic partial differential equations can be deduced from the matter field equations. Second, gravity is supposed to be coupled to the matter fields by requiring that the Ricci tensor is a smooth function of the basic matter field variables and the metric. It is shown then that the 'time' evolution of these types of gravity-matter systems preserves the symmetries of initial data specifications.

Original language | English |
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Pages (from-to) | 5103-5113 |

Number of pages | 11 |

Journal | Classical and Quantum Gravity |

Volume | 18 |

Issue number | 23 |

DOIs | |

Publication status | Published - Dec 7 2001 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Symmetries of spacetime and their relation to initial value problems.** / Rácz, I.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 18, no. 23, pp. 5103-5113. https://doi.org/10.1088/0264-9381/18/23/307

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TY - JOUR

T1 - Symmetries of spacetime and their relation to initial value problems

AU - Rácz, I.

PY - 2001/12/7

Y1 - 2001/12/7

N2 - We consider covariant metric theories of coupled gravity-matter systems satisfying the following two conditions: first, it is assumed that, by a hyperbolic reduction process, a system of first-order symmetric hyperbolic partial differential equations can be deduced from the matter field equations. Second, gravity is supposed to be coupled to the matter fields by requiring that the Ricci tensor is a smooth function of the basic matter field variables and the metric. It is shown then that the 'time' evolution of these types of gravity-matter systems preserves the symmetries of initial data specifications.

AB - We consider covariant metric theories of coupled gravity-matter systems satisfying the following two conditions: first, it is assumed that, by a hyperbolic reduction process, a system of first-order symmetric hyperbolic partial differential equations can be deduced from the matter field equations. Second, gravity is supposed to be coupled to the matter fields by requiring that the Ricci tensor is a smooth function of the basic matter field variables and the metric. It is shown then that the 'time' evolution of these types of gravity-matter systems preserves the symmetries of initial data specifications.

UR - http://www.scopus.com/inward/record.url?scp=0035605143&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035605143&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/18/23/307

DO - 10.1088/0264-9381/18/23/307

M3 - Article

AN - SCOPUS:0035605143

VL - 18

SP - 5103

EP - 5113

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 23

ER -