Chinese Physics C > 2018, Vol. 42 > Issue(9): 095104 DOI: 10.1088/1674-1137/42/9/095104

Testing the variation of the fine structure constant with strongly lensed gravitational waves

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Department of Physics, Chongqing University, Chongqing 401331, China

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The possible variation of the electromagnetic fine structure constant, α _e, at cosmological scales has aroused great interest in recent years. Strongly lensed gravitational waves (GWs) and their electromagnetic counterparts could be used to test this variation. Under the assumption that the speed of a photon can be modified, whereas the speed of a GW is the same as predicted by general relativity, and they both propagate in a flat Friedman-Robertson-Walker universe, we investigated the difference in time delays of the images and derived the upper bound of the variation of α _e. For a typical lensing system in the standard cosmological models, we obtained Bcos θ≤ 1.85×10 ^-5, where Bis the dipolar amplitude and θis the angle between observation and the preferred direction. Our result is consistent with the most up-to-date observations on α _e. In addition, the observations of strongly lensed GWs and their electromagnetic counterparts could be used to test which types of alternative theories of gravity can account for the variation of α _e.
- fine structure constant,
- gravitational wave,
- gravitational lensing

References

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Xin Li, Li Tang, Hai-Nan Lin and Li-Li Wang. Testing the variation of the fine structure constant with strongly lensed gravitational waves[J]. Chinese Physics C, 2018, 42(9): 095104. doi: 10.1088/1674-1137/42/9/095104

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Received: 2018-03-06
Revised: 2018-06-04

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Supported by the National Natural Science Fund of China (11775038, 11603005, 11647307)

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通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Testing the variation of the fine structure constant with strongly lensed gravitational waves

Corresponding author:Xin Li,

Corresponding author:Li Tang,

Corresponding author:Hai-Nan Lin,

Corresponding author:Li-Li Wang,

1. Department of Physics, Chongqing University, Chongqing 401331, China

Received Date:2018-03-06

Accepted Date:2018-06-04

Available Online:2018-09-05

Fund Project:Supported by the National Natural Science Fund of China (11775038, 11603005, 11647307)

Abstract:The possible variation of the electromagnetic fine structure constant,α_e, at cosmological scales has aroused great interest in recent years. Strongly lensed gravitational waves (GWs) and their electromagnetic counterparts could be used to test this variation. Under the assumption that the speed of a photon can be modified, whereas the speed of a GW is the same as predicted by general relativity, and they both propagate in a flat Friedman-Robertson-Walker universe, we investigated the difference in time delays of the images and derived the upper bound of the variation ofα_e. For a typical lensing system in the standard cosmological models, we obtainedBcosθ≤ 1.85×10^-5, whereBis the dipolar amplitude andθis the angle between observation and the preferred direction. Our result is consistent with the most up-to-date observations onα_e. In addition, the observations of strongly lensed GWs and their electromagnetic counterparts could be used to test which types of alternative theories of gravity can account for the variation ofα_e.

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Testing the variation of the fine structure constant with strongly lensed gravitational waves

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