Regular Article - Theoretical Physics
No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars
School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China
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Accepted: 5 October 2019
Published online: 15 October 2019
In a recent paper, Hod started a study on no scalar hair theorem for asymptotically flat spherically symmetric neutral horizonless reflecting compact stars. In fact, Hod’s approach only rules out massive scalar fields. In the present paper, for massless scalar fields outside neutral horizonless reflecting compact stars, we provide a rigorous mathematical proof on no hair theorem. We show that asymptotically flat spherically symmetric neutral horizonless reflecting compact stars cannot support exterior massless scalar field hairs.
© The Author(s), 2019