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Mass loss due to gravitational waves with $\Lambda>0$ · Around

2017

Mass loss due to gravitational waves with $\Lambda>0$

Saw, Vee-Liem

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The theoretical basis for the energy carried away by gravitational waves that an isolated gravitating system emits was first formulated by Hermann Bondi during the 1960s.

Recent findings from looking at distant supernovae revealed that the rate of expansion of our universe is accelerating, which may be well-explained by sticking in a positive cosmological constant into the Einstein field equations for general relativity.
By solving the Newman-Penrose equations (which are equivalent to the Einstein field equations), we generalise this notion of Bondi mass-energy and thereby provide a firm theoretical description of how an isolated gravitating system loses energy as it radiates gravitational waves, in a universe that expands at an accelerated rate.
This is in line with the observational front of LIGO's first announcement in February 2016 that gravitational waves from the merger of a binary black hole system have been detected.

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H. Bondi, Nature 186
1960
Earlier work this paper cites.
doi: 10.1098/rspa.1962.0161
H. Bondi, M.G.J. van der Burg, A.W.K. Metzner, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 269 · 1962
Earlier work this paper cites.
doi: http://dx.doi.org/10.1063/1.1724257
E.T. Newman, R. Penrose, Journal of Mathematical Physics 3 · 1962
Earlier work this paper cites.
doi: http://dx.doi.org/10.1063/1.1724303
E.T. Newman, T.W.J. Unti, Journal of Mathematical Physics 3 · 1962
Earlier work this paper cites.

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See Ref. [ 9 ] which describes the foliation of the conformally rescaled ℐ \mathcal{I} by topological 2-spheres
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Then

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Later among the works it cites.
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