Perturbations of matter fields in the second-order gauge-invariant cosmological perturbation theory
- Department of Astronomical Science, Graduate University for Advanced Studies, Mitaka, Tokyo 181-8588 (Japan)
To show that the general framework of the second-order gauge-invariant perturbation theory developed by K. Nakamura [Prog. Theor. Phys. 110, 723 (2003); Prog. Theor. Phys. 113, 481 (2005)] is applicable to a wide class of cosmological situations, some formulas for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four-dimensional homogeneous isotropic universe, which is developed in Prog. Theor. Phys. 117, 17 (2007). We derive the formulas for the perturbations of the energy-momentum tensors and equations of motion for a perfect fluid, an imperfect fluid, and a single scalar field, and show that all equations are derived in terms of gauge-invariant variables without any gauge fixing. Through these formulas, we may say that the decomposition formulas for the perturbations of any tensor field into gauge-invariant and gauge-variant parts, which are proposed in the above papers, are universal.
- OSTI ID:
- 21313613
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 12; Other Information: DOI: 10.1103/PhysRevD.80.124021; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGICAL MODELS
DECOMPOSITION
DISTURBANCES
ENERGY-MOMENTUM TENSOR
EQUATIONS OF MOTION
FLUIDS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
IDEAL FLOW
MATTER
PERTURBATION THEORY
SCALAR FIELDS
TENSOR FIELDS
UNIVERSE