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Asymptotic flatness at null infinity in arbitrary dimensions · Around

2011

Asymptotic flatness at null infinity in arbitrary dimensions

Tanabe, Kentaro, Kinoshita, Shunichiro, Shiromizu, Tetsuya

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Understand

We define the asymptotic flatness and discuss asymptotic symmetry at null infinity in arbitrary dimensions using the Bondi coordinates.

To define the asymptotic flatness, we solve the Einstein equations and look at the asymptotic behavior of gravitational fields.
Then we show the asymptotic symmetry and the Bondi mass loss law with the well-defined definition.

Built on

H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Proc. Roy. Soc. Lond. A 269
1962
Earlier work this paper cites.
R. K. Sachs, Proc. Roy. Soc. Lond. A 270
1962
Earlier work this paper cites.
R. K. Sachs, Phys. Rev. 128
1962
Earlier work this paper cites.
R. Penrose, Phys. Rev. Lett. 10
1963
Earlier work this paper cites.

Similar

R. P. Geroch, “Asymptotic structure of space-time,” in Asymptotic structure of space-time
1977
Cited alongside, same era.
A. Ashtekar and R. O. Hansen, J. Math. Phys. 19
1978
Cited alongside, same era.
R. P. Geroch and B. C. Xanthopoulos, J. Math. Phys. 19
1978
Cited alongside, same era.
S. Hollands and A. Ishibashi, J. Math. Phys. 46
2005
Cited alongside, same era.
S. Hollands and A. Ishibashi, arXiv:hep-th/0311178
Cited in the paper.

Then

A. Ishibashi, Class. Quant. Grav. 25
Original
2008
Later among the works it cites.
K. Tanabe, N. Tanahashi and T. Shiromizu, J. Math. Phys. 50
Original
2009
Later among the works it cites.
K. Tanabe, N. Tanahashi and T. Shiromizu, J. Math. Phys. 51
2010
Later among the works it cites.
K. Tanabe, N. Tanahashi and T. Shiromizu, J. Math. Phys. 52
Original
2011
Closest in time.

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