M M Afshar 2009 Class. Quantum Grav. 26 225005 doi:10.1088/0264-9381/26/22/225005
M M Afshar
Show affiliationsThis paper presents a calculation of the quasilocal energy of a generic FRW model of the universe. The results have the correct behavior in the small-sphere limit and vanish for the empty Milne universe. Higher order corrections are found when comparing these results to classical calculations of cosmological energy. This case is different from others in the literature chiefly in that it involves a non-stationary spacetime. This fact can be used to differentiate between the various formulations of quasilocal energy. In particular, the formulation due to Brown and York is compared to that of Epp. Only one of these is seen to have the correct classical limit.
95.30.Sf Relativity and gravitation
04.20.Gz Spacetime topology, causal structure, spinor structure
Issue 22 (21 November 2009)
Received 5 June 2009, in final form 10 September 2009
Published 19 October 2009
M M Afshar 2009 Class. Quantum Grav. 26 225005
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Yudai Izumi et al 2009 J. Phys.: Conf. Ser. 190 012209
K Bastwöste et al 2007 J. Phys.: Condens. Matter 19 156225
Yuan Xing-hai et al 2009 J. Phys.: Conf. Ser. 188 012011
M O Hase and J F F Mendes 2008 J. Phys. A: Math. Theor. 41 145002