We study the third quantization of a Brans-Dicke toy model, we calculate the number density of the universes created from nothing and found that it has a Planckian form. Also, we calculated the uncertainty relation for this model by means of functional Schrödinger equation and we found that fluctuations of the third-quantized universe field tends to a finite limit in the course of cosmic expans...

Analytical wormhole solutions in Brans-Dicke theory in the presence of matter are presented. It is shown that the wormhole throat must not be necessarily threaded with exotic matter. PACS number(s): 04.20Jb, 04.50+h ∗E-mail: [email protected] 1 The field equations of General Relativity, being local in character, admit solutions with nontrivial topology. Among these, wormholes have ...