https://doi.org/10.1140/epjc/s10052-023-12287-z
Regular Article - Theoretical Physics
No long hair behaviors of ultra-compact objects
1
School of Physics and Physical Engineering, Qufu Normal University, 273165, Qufu, Shandong, China
2
School of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, China
Received:
2
October
2023
Accepted:
23
November
2023
Published online:
3
December
2023
We investigate distributions of matter fields outside spherically symmetric ultra-compact objects with null circular orbits in the asymptotically flat background. Based on the dominant energy and the non-negative trace conditions, we prove the existence of effective radius of matter field hairs outside horizonless ultra-compact objects. We also analytically find a no long hair behavior, which states that the effective radius of matter field hairs cannot extend beyond the outermost null circular orbit of horizonless ultra-compact objects.
© The Author(s) 2023
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