Quasi-local mass at axially symmetric null infinity
نویسندگان
چکیده
منابع مشابه
Quasi-axially symmetric stellarators.
Confinement of a plasma for controlled thermonuclear fusion is studied numerically. Toroidal equilibria are considered, with an emphasis on the Modular Helias-like Heliac 2 (MHH2), which is a stellarator of low aspect ratio with just two field periods surrounded by 16 modular coils. The geometry is fully three-dimensional, but there is an axial symmetry of the magnetic structure that is calcula...
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We present a numerical and analytic assessment of the transport in two quasi-axially symmetric stellarators, including one variant of the MHH2 class[l] of such devices, and a configuration we refer t o as NHH2, closely related t o MHH2. Monte Carlo simulation results are compared with expectations from established stellarator neoclassical theory, and with some empirical stellarator scalings, us...
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This work extends the ideas developed in two previous papers by the authors. Firstand second-order perturbation solutions of Einstein’s equations (in Newman–Penrose form) for the Bondi–Sachs metric are found on a background Minkowski manifold. These solutions allow a tensorial calculation of the Bondi mass using the Taub superpotential. PACS numbers: 0425N, 0440N
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In this paper, we study the limiting behavior of the BrownYork mass and Hawking mass along nearly round surfaces at infinity of an asymptotically flat manifold. Nearly round surfaces can be defined in an intrinsic way. Our results show that the ADM mass of an asymptotically flat 3-manifold can be approximated by some geometric invariants of a family of nearly round surfaces which approach to in...
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The definition of the total energy-momentum at spatial infinity was given by Arnowitt-Desser-Misnerfor in asymptotically flat spacetimes [1]. The positivity of the ADM mass was proved by Schoen and Yau in a nontrivial isolated physical system which satisfies the dominant energy condition [16, 17, 18]. Later it was proved by Witten using spinors [22]. The positive mass theorem plays a fundamenta...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics D
سال: 2019
ISSN: 0218-2718,1793-6594
DOI: 10.1142/s0218271819300131