Abstract
The Dougan-Mason quasilocal mass (1991) is calculated as a function of the angular momentum on a cross section of the event horizon in a Kerr spacetime. The result is compared with results for the quasilocal masses defined by Komar (1959), Hawking (1968), Penrose (1982), Ludvigsen-Vickers (1983), Bergqvist-Ludvigsen (1991), and Kulkarni-Chellathurai-Dadhich (1988). The same study is also made for spheres in a Reissner-Nordstrom spacetime. It is shown that no definition is equivalent to any other in both these situations, and this might be because of difficulties in defining mass in general relativity at the quasilocal level.
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