Observational Upper Bound on the Cosmic Abundances of Negative-mass Compact Objects and Ellis Wormholes from the Sloan Digital Sky Survey Quasar Lens Search

Ryuichi Takahashi; Hideki Asada

doi:10.1088/2041-8205/768/1/L16

paper

Observational Upper Bound on the Cosmic Abundances of Negative-mass Compact Objects and Ellis Wormholes from the Sloan Digital Sky Survey Quasar Lens Search

arXiv:1303.1301 · doi:10.1088/2041-8205/768/1/L16

Abstract

The latest result in the Sloan Digital Sky Survey Quasar Lens Search (SQLS) has set the first cosmological constraints on negative-mass compact objects and Ellis wormholes. There are no multiple images lensed by the above two exotic objects for $\sim 50000$ distant quasars in the SQLS data. Therefore, an upper bound is put on the cosmic abundances of these lenses. The number density of negative mass compact objects is $n < 1 0^{- 8} (1 0^{- 4}) h^{3} Mpc^{- 3}$ at the mass scale $∣ M ∣ > 1 0^{15} (1 0^{12}) M_{⊙}$ , which corresponds to the cosmological density parameter $∣Ω∣ < 1 0^{- 4}$ at the galaxy-scale mass range $∣ M ∣ = 1 0^{12 - 15} M_{⊙}$ . The number density of the Ellis wormhole is $n < 1 0^{- 4} h^{3} Mpc^{- 3}$ for a range of the throat radius $a = 1 0^{1 - 4}$ pc, which is much smaller than the Einstein ring radius.

5 pages, 3 figures, minor changes, some references added, accepted for publication in ApJL

Observational Upper Bound on the Cosmic Abundances of Negative-mass Compact Objects and Ellis Wormholes from the Sloan Digital Sky Survey Quasar Lens Search

Abstract

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