Second-Order Gauge Invariant Perturbation Theory : Perturbative Curvatures in the Two-Parameter Case(Astrophysics and Relativity)
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概要
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Based on the gauge invariant variables proposed in our previous paper [K. Nakamura, Prog. Theor. Phys. 110 (2003), 723], some formulae for the perturbative curvatures of each order are derived. We follow the general framework of the second-order gauge invariant perturbation theory on an arbitrary background spacetime to derive these formulae. It is found that these perturbative curvatures have the same form as those given in the definitions of gauge invariant variables for arbitrary perturbative fields, which were proposed in the above paper. As a result, we explicitly see that any perturbative Einstein equation can be given in terms of a gauge invariant form. We briefly discuss physical situations to which this framework should be applied.
- 理論物理学刊行会の論文
- 2005-03-25
著者
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Nakamura Kouji
Graduate Univ. Advanced Studies Mitaka Jpn
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Nakamura Kouji
Department Of Astronomical Science The Graduate University For Advanced Studies
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Nakamura Kouji
Department Of Applied Biological Chemistry Faculty Of Agriculture Niigata University
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