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Costa, J. L. (2010). Proof of a Dain inequality with charge. Journal of Physics A: Mathematical and Theoretical. 43 (28), 285202
J. L. Costa, "Proof of a Dain inequality with charge", in Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 28, pp. 285202, 2010
@article{costa2010_1714741028103, author = "Costa, J. L.", title = "Proof of a Dain inequality with charge", journal = "Journal of Physics A: Mathematical and Theoretical", year = "2010", volume = "43", number = "28", doi = "10.1088/1751-8113/43/28/285202", pages = "285202", url = "http://iopscience.iop.org/1751-8121/43/28" }
TY - JOUR TI - Proof of a Dain inequality with charge T2 - Journal of Physics A: Mathematical and Theoretical VL - 43 IS - 28 AU - Costa, J. L. PY - 2010 SP - 285202 SN - 1751-8113 DO - 10.1088/1751-8113/43/28/285202 UR - http://iopscience.iop.org/1751-8121/43/28 AB - We prove an upper bound for angular momentum and charge in terms of the mass for electro-vacuum asymptotically flat axisymmetric initial data sets with simply connected orbit space. This completes the work started in (Chru?ciel and Costa 2009 Class. Quantum Grav. 26 235013 (arXiv:gr-qc/0909.5625)) where this charged Dain inequality was first presented but where the proof of the main result, based on the methods of Chru?ciel et al (Ann. Phys. 2008 323 2591–613 (arXiv:gr-qc/0712.4064v2)), was only sketched. Here we present a complete proof while simplifying the methods suggested by Chru?ciel and Costa (2009 Class. Quantum Grav. 26 235013 (arXiv:gr-qc/0909.5625)). ER -