### Abstract

The Sagnac effect is a phase shift observed between two beams of light traversing in opposite directions the same closed path around a rotating object. A description of this experiment is obtained within the context of general relativity. In this context the effect provides an operational definition of rotation. An expression for the magnitude of the phase shift is derived under fairly general conditions. The general definition of rotation provided by this experiment is shown to reduce, in certain particular cases, to the usual definitions available. It is observed that the Sagnac effect represents a gravitational analog of the Aharanov-Bohm effect in electrodynamics.

Original language | English (US) |
---|---|

Pages (from-to) | 341-344 |

Number of pages | 4 |

Journal | Journal of Mathematical Physics |

Volume | 16 |

Issue number | 2 |

State | Published - Dec 1 1974 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*16*(2), 341-344.

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*Journal of Mathematical Physics*, vol. 16, no. 2, pp. 341-344.

**The Sagnac effect in general relativity.** / Ashtekar, Abhay; Magnon, Anne.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The Sagnac effect in general relativity

AU - Ashtekar, Abhay

AU - Magnon, Anne

PY - 1974/12/1

Y1 - 1974/12/1

N2 - The Sagnac effect is a phase shift observed between two beams of light traversing in opposite directions the same closed path around a rotating object. A description of this experiment is obtained within the context of general relativity. In this context the effect provides an operational definition of rotation. An expression for the magnitude of the phase shift is derived under fairly general conditions. The general definition of rotation provided by this experiment is shown to reduce, in certain particular cases, to the usual definitions available. It is observed that the Sagnac effect represents a gravitational analog of the Aharanov-Bohm effect in electrodynamics.

AB - The Sagnac effect is a phase shift observed between two beams of light traversing in opposite directions the same closed path around a rotating object. A description of this experiment is obtained within the context of general relativity. In this context the effect provides an operational definition of rotation. An expression for the magnitude of the phase shift is derived under fairly general conditions. The general definition of rotation provided by this experiment is shown to reduce, in certain particular cases, to the usual definitions available. It is observed that the Sagnac effect represents a gravitational analog of the Aharanov-Bohm effect in electrodynamics.

UR - http://www.scopus.com/inward/record.url?scp=36749119058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36749119058&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36749119058

VL - 16

SP - 341

EP - 344

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 2

ER -