In the present paper, we investigate wormholes in 4D Einstein–Gauss–Bonnet (EGB) gravity without requirement of exotic matters. We have taken radial-dependent red-shift function $$\phi =\ln \left( {\frac{r_{{0}}}{r}}+1 \right) $$ and shape $$b(r)={\frac{r_{0}\ln (r+1)}{\ln ({r_0}+1)}}$$ as well anisotropic matter sources through equation state (EoS) $$p_r(r) = \omega \rho (r)$$ . examine energy...

We consider the five-dimensional Einstein-Gauss-Bonnet gravity, which can be obtained by means of an apropriate choice coeficients in Lanczos-Lovelock gravity theory. The field equations for Friedmann-Lema\^itre-Robertson-Walker metric are found as well some their solutions. A four-dimensional action is from Gauss-Bonnet using Randall-Sundrum compactification procedure and then it studied impli...

A new exact spherically symmetric and magnetically charged black hole solution in regularization scheme of Glavan Lin is obtained. The nonlinear electrodynamics Lagrangian given by LNED=−F/(1+2βF4), where F the field invariant. We study thermodynamics calculating Hawking temperature heat capacity hole. phase transitions take place when has an extremum singular. demonstrate that holes are thermo...

Abstract We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions vanishing metrical length [1]. In absence torsion, effective field equations depend only four-metric, reflecting a quadratic curvature nonlinearity but no higher than second order derivatives. contrast proposals to obtain 4dEGB theories through singular re...

Recently, several methods have been proposed to regularize a D→4 limit of Einstein–Gauss–Bonnet (EGB), leading nontrivial gravitational dynamics in 4D. We present an exact nonsingular black hole solution the 4D EGB gravity coupled non-linear electrodynamics and analyze their thermodynamic properties calculate precise expressions for mass, temperature, entropy. Because magnetic charge, quantitie...

We consider a six dimensional space-time, in which two of the dimensions are compactified by a flux. Matter can be localized on a codimension one brane coupled to the bulk gauge field and wrapped around an axis of symmetry of the internal space. By studying the linear perturbations around this background, we show that the gravitational interaction between sources on the brane is described by Ei...

We obtain the full 5D graviton propagator in the Randall-Sundrum model with the Gauss-Bonnet interaction. From the decomposition of the graviton propagator on the brane, we show that localization of gravity arises in the presence of the Gauss-Bonnet term. We also obtain the metric perturbation for observers on the brane with considering the brane bending and compute the amplitude of one massles...

We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five dimensional (5D) gravity and (anti) de Sitter gauge gravity. Such solutions are generated by anholonomic frame transforms and parametrized by generic off–diagonal metrics. For certain particular cases, the new classes of metrics h...

In the intersecting brane configurations with any number n of extra dimensions, we obtain a localized gravity on the n orthogonal non-solitonic or solitonic (n+2)-branes in the presence of higher curvature terms. In the presence of such terms there would exist a non vanishing brane tension at the four-dimensional brane intersection of the (2 + n)-branes. The effective 4d Planck scale MP l is de...

We construct intersecting brane configurations in anit-de Sitter (AdS) space which localize gravity to the intersection region, generalizing the trapping of gravity to any number n of infinite extra dimensions. Since the 4D Planck scale M(Pl) is determined by the fundamental Planck scale M(*) and the AdS radius L via the familiar relation M(2)(Pl) approximately M(2+n)(*)L(n), we get two kinds o...