Hairs on the cosmological horizon

Details Hairs on the cosmological horizon Hairs on the cosmological horizon

1997-08-26

arxiv.org/abs/gr-qc/9708064v3

Phys.Rev. D58 (1998) 024002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, no figures, 16 pages

Scientific paper

10.1103/PhysRevD.58.024002

We investigate the possibility of having hairs on the cosmological horizon. The cosmological horizon shares similar properties of black hole horizons in the aspect of having hairs on the horizons. For those theories admitting haired black hole solutions, the nontrivial matter fields may reach and extend beyond the cosmological horizon. For Q-stars and boson stars, the matter fields cannot reach the cosmological horizon. The no short hair conjecture keeps valid, despite the asymptotic behavior (de Sitter or anti-de Sitter) of black hole solutions. We prove the no scalar hair theorem for anti-de Sitter black holes. Using the Bekenstein's identity method, we also prove the no scalar hair theorem for the de Sitter space and de Sitter black holes if the scalar potential is convex.

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