Uniqueness of Self-Similar Asymptotically Friedmann-Robertson-Walker Spacetime in Brans-Dicke theory

Abstract

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.

Revised version, 4 pages, no figures, Revtex, accepted for publication in Physical Review D

References in corpus (3)

• Primordial black hole evolution in tensor-scalar cosmology
• Cosmological Evolution of Black Holes in Brans-Dicke Gravity
• Black holes and a scalar field in an expanding universe

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• Self-similar cosmological solutions with dark energy. I: formulation and asymptotic analysis
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• Catastrophic fate of Schwarzschild black holes in a thermal bath
• Asymptotically Friedmann self-similar scalar field solutions with potential