https://doi.org/10.1140/epjc/s10052-021-09034-7
Regular Article – Theoretical Physics
No short hair behaviors of ultra-compact stars
1
School of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, China
2
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
Received:
5
February
2021
Accepted:
6
March
2021
Published online:
21
March
2021
In the black hole spacetime, a no short hair theorem was proved, which states that the effective radius of black hole hairs must extend beyond the null circular orbit. In the present paper, in the horizonless gravity, we find a similar no short hair behavior that the effective radius of matter fields must also extend beyond the null circular orbit of ultra-compact stars. We should emphasize that the theorem presented in this manuscript is valid only for spatially regular matter configurations whose energy-momentum traces are non-negative.
© The Author(s) 2021
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