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arXiv · 0711.0255

On spherically symmetric metric satisfying the positive kinetic energy coordinate condition

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.

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T. Mei. 2008-02-28. On spherically symmetric metric satisfying the positive kinetic energy coordinate condition. https://arxiv.org/abs/0711.0255

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