Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2012-04-13
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pp, LaTeX; expanded version of paper submitted to Gravity Research Foundation 2012 Awards for Essays on Gravitation competi
Scientific paper
The thermodynamics of primordial black holes (PBHs) in $(1+1)$- and $(2+1)$-D are revisited in light of recent trends toward a lower-dimensional quantum gravity regime. Unlike in the standard $(3+1)$-D framework, it is shown such black objects will exhibit decay times $\tau \sim \Mpbh^{-1}$. This has important relevance to the PBH population size and distribution, and consequently on cosmological evolution scenarios. The number of PBHs that have evaporated to present day is estimated, and entropic continuity conditions are derived to impose further constraints on PBH populations as the dimension grows. If the cosmological constant is non-negative, no black holes can exist in the $(2+1)$-dimensional epoch, and thus a $(1+1)$-dimensional black hole will evolve to a remnant. These results introduce new pathways to PBH dark matter candidacy.
Mureika Jonas Roman
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