Abstract
AbstractWe 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.
Funder
Shandong Provincial Natural Science Foundation of China
the Higher Educational Youth Innovation Science and Technology Program Shandong Province
the Youth Innovations and Talents Project of Shandong Provincial Colleges and Universities
Qufu Normal University of China
Taishan Scholar Project of Shandong Province
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)