Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-05-25
Phys.Rev.D66:087501,2002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Revised version, 4 pages, no figures, Revtex, accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.66.087501
We investigate spherically symmetric self-similar solutions in Brans-Dicke theory. Assuming a perfect fluid with the equation of state $p=(\gamma-1)\mu (1 \le \gamma<2)$, we show that there are no non-trivial solutions which approach asymptotically to the flat Friedmann-Robertson-Walker spacetime if the energy density is positive. This result suggests that primordial black holes in Brans-Dicke theory cannot grow at the same rate as the size of the cosmological particle horizon.
Koga Jun-ichirou
Maeda Hideki
Maeda Kei--ichi
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