A real space renormalization group technique, based on the hierarchical baby-universe structure of a typical dynamically triangulated manifold, is used to study scaling properties of 2d and 4d lattice quantum gravity. In 4d, the β-function is defined and calculated numerically. An evidence for the existence of an ultraviolet stable fixed point of the theory is presented. May 1995 LPTHE Orsay 95...

In this paper we investigate the vanishing of cosmological singularities by quantization. Starting from a 5d Kaluza{Klein approach we quantize, as a rst step, the non{spherical metric part and the dilaton eld. These elds which are classically singular become smooth after quantization. In addition, we argue that the incorporation of non perturbative quantum corrections form a dilaton potential. ...

Abstract In the present paper we investigate structure of relativistic stars in 4D Einstein-Gauss-Bonnet gravity. The mass-radius relations are obtained for realistic hadronic and strange quark star equations state, a wide range Gauss-Bonnet coupling parameter ?. Even though deviations from general relativity nonzero values ? can be large enough, they still comparable with variations due to dif...

Abstract An alternative gravity theory that has attracted considerable attention recently is the novel four-dimensional Einstein–Gauss–Bonnet (4EGB) gravity. This idea was proposed to bypass Lovelock’s theorem and permit nontrivial higher curvature effects on local In this approach, Gauss–Bonnet (GB) coupling constant $$\alpha $$ <mml:mi...