Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Yunlong Zheng; Yicen Mou; Haomin Rao; Mingzhe Li

doi:10.1088/1674-1137/42/3/035102

Chinese Physics C> 2018, Vol. 42> Issue(3) : 035102 DOI: 10.1088/1674-1137/42/3/035102

Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Yunlong Zheng ^1,2 ,
Yicen Mou ³ ,
Haomin Rao ³ ,
Mingzhe Li ^3,,

1.
Department of Physics, Nanjing University, Nanjing 210093, China
2.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
3.
Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 230026, China

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Abstract：
In recent years there has been a lot of interest in discussing frame dependences/independences of the cosmological perturbations under the conformal transformations. This problem has previously been investigated in terms of the covariant approach for a single component universe, and it was found that the covariant approach is very powerful to pick out the perturbative variables which are both gauge and conformal invariant. In this work, we extend the covariant approach to a universe with multicomponent fluids. We find that similar results can be derived, as expected. In addition, some other interesting perturbations are also identified to be conformal invariant, such as entropy perturbation between two different components.
- cosmological perturbations ,
- conformal transformation ,
- covariant approach

References

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Yunlong Zheng, Yicen Mou, Haomin Rao and Mingzhe Li. Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe[J]. Chinese Physics C, 2018, 42(3): 035102. doi: 10.1088/1674-1137/42/3/035102

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Received: 2017-12-19

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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

Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

Corresponding author: Mingzhe Li,

1. Department of Physics, Nanjing University, Nanjing 210093, China

2. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

3. Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 230026, China

Received Date: 2017-12-19

Available Online: 2018-03-05

Fund Project: Supported by NSFC (11422543, 11653002)

Abstract: In recent years there has been a lot of interest in discussing frame dependences/independences of the cosmological perturbations under the conformal transformations. This problem has previously been investigated in terms of the covariant approach for a single component universe, and it was found that the covariant approach is very powerful to pick out the perturbative variables which are both gauge and conformal invariant. In this work, we extend the covariant approach to a universe with multicomponent fluids. We find that similar results can be derived, as expected. In addition, some other interesting perturbations are also identified to be conformal invariant, such as entropy perturbation between two different components.

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Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe

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