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General Relativity and Quantum Cosmology

arXiv:0711.0255 (gr-qc)
[Submitted on 2 Nov 2007 (v1), last revised 28 Feb 2008 (this version, v6)]

Title:On spherically symmetric metric satisfying the positive kinetic energy coordinate condition

Authors:T. Mei
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Abstract: Generally speaking, there is a negative kinetic energy term in the Lagrangian of the Einstein-Hilbert action of general relativity; On the other hand, the negative kinetic energy term can be vanished by designating a special coordinate system. For general spherically symmetric metric, the question that seeking special coordinate system that satisfies the positive kinetic energy coordinate condition is referred to solving a linear first-order partial differential equation. And then, we present a metric corresponding to the Reissner-Nordstrom solution that satisfies the positive kinetic energy coordinate condition. Finally, we discuss simply the case of the Tolman metric.
Comments: 11 pages, no figure
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0711.0255 [gr-qc]
  (or arXiv:0711.0255v6 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0255

Submission history

From: Tao Mei [view email]
[v1] Fri, 2 Nov 2007 07:38:40 UTC (136 KB)
[v2] Tue, 13 Nov 2007 06:20:36 UTC (159 KB)
[v3] Wed, 14 Nov 2007 18:58:49 UTC (175 KB)
[v4] Sat, 17 Nov 2007 13:03:13 UTC (177 KB)
[v5] Sun, 2 Dec 2007 07:43:38 UTC (183 KB)
[v6] Thu, 28 Feb 2008 08:04:14 UTC (210 KB)
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