Physics
Scientific paper
Sep 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.3920b&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 6, 15 September 1996, pp.3920-3931
Physics
42
Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Black Holes, Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
We discuss how the constraints on models of the early Universe derived from considering the formation and evaporation of primordial black holes (PBH's) are modified if the gravitational ``constant'' varies with time. The modifications depend crucially on whether G has the same value everywhere (so that it maintains the evolving background value) or whether the local value within the black hole is preserved (corresponding to what is termed ``gravitational memory''). The simplest varying-G scenario is Brans-Dicke theory, in which one has a scalar field φ (with G~φ-1) and a coupling constant ω0. In this case, solar system observations imply that ω0 is very large and the modifications to the PBH constraints are negligible whether or not there is gravitational memory. However, in more general scalar-tensor theories, the coupling ``constant'' ω(φ) varies, so ω may be large today but small at early times. In this case, the value of G and the dynamics of the early Universe could be strongly modified during the period when PBH's form. We present a class of scalar-tensor models which exhibit this feature and discuss how the PBH constraints are modified according to whether or not one has gravitational memory.
Barrow John D.
Carr Bernard J.
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