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The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with…

High Energy Physics - Theory · Physics 2014-11-18 Eckehard W. Mielke

The staid subject of exact static spherically symmetric perfect fluid solutions of Einstein's equations has been reinvigorated in the last decade. We now have several solution generating techniques which give rise to new exact solutions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kayll Lake

A solution of the Einstein vacuum field equations is constructed within the contex of perturbation theory. The solution possesses a graphical representation in terms of diagrams.

General Relativity and Quantum Cosmology · Physics 2009-11-15 A. V. Bratchikov

Quantum graphity is a background independent model for emergent locality, spatial geometry and matter. The states of the system correspond to dynamical graphs on N vertices. At high energy, the graph describing the system is highly…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka , Fotini Markopoulou , Simone Severini

Gravity is perturbatively renormalizable for the physical states which can be conveniently defined via foliation-based quantization. In recent sequels, one-loop analysis was explicitly carried out for Einstein-scalar and Einstein-Maxwell…

High Energy Physics - Theory · Physics 2021-11-12 I. Y. Park

This research is an extension of the author's article \cite{zar}, in which conformally invariant generalization of string theory was suggested to higher-dimensional objects. Special cases of the proposed theory are Einstein's theory of…

General Relativity and Quantum Cosmology · Physics 2014-10-13 Farkhat Zaripov

By making use of the background field method, the one-loop quantization for Euclidean Einstein-Weyl quadratic gravity model on the de Sitter universe is investigated. Using generalized zeta function regularization, the on-shell and…

General Relativity and Quantum Cosmology · Physics 2013-01-29 E. Elizalde , G. Cognola , S. Zerbini

We review how we can construct the gravity models which reproduces the arbitrary development of the universe. We consider the reconstruction in the Einstein gravity coupled with generalized perfect fluid, scalar-Einstein gravity,…

High Energy Physics - Theory · Physics 2010-04-28 Shin'ichi Nojiri

We study the Wheeler-DeWitt equation for a class of induced gravity models in the minisuperspace approximation. In such models a scalar field nonminimally coupled to gravity determines the effective Newton's constant. For simplicity our…

General Relativity and Quantum Cosmology · Physics 2019-07-24 A. Y. Kamenshchik , A. Tronconi , G. Venturi

Quantum gravity computations suggest the existence of an ultraviolet and an infrared fixed point where quantum scale invariance emerges as an exact symmetry. We discuss a particular variable gravity model for the crossover between these…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Javier Rubio , Christof Wetterich

The description of gravity in the form of an embedding theory is based on the hypothesis that our space-time is a four-dimensional surface in a flat ten-dimensional space. The choice of standard Einstein-Hilbert action leads in this case to…

General Relativity and Quantum Cosmology · Physics 2023-07-06 S. A. Paston , A. D. Kapustin

By rescaling the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow \alpha/(D-4)$ and considering the $D \rightarrow 4$ limit, the GB gravity gives rise to nontrivial modification of general relativity in four dimensions. In this work,…

General Relativity and Quantum Cosmology · Physics 2020-04-14 Shou-Long Li , Puxun Wu , Hongwei Yu

We study Einstein static universes in the context of generic f(R) models. It is shown that Einstein static solutions exist for a wide variety of modified gravity models sourced by a barotropic perfect fluid with equation of state w=p/rho,…

General Relativity and Quantum Cosmology · Physics 2009-03-14 Sanjeev S. Seahra , Christian G. Boehmer

In a class of generalized Einstein's gravity theories we derive the equations and general asymptotic solutions describing the evolution of the perturbed universe in unified forms. Our gravity theory considers general couplings between the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Hwang

We perform a general computation of the off-shell one-loop divergences in Einstein gravity, in a two-parameter family of path integral measures, corresponding to different ways of parametrizing the graviton field, and a two-parameter family…

High Energy Physics - Theory · Physics 2016-07-20 N. Ohta , R. Percacci , A. D. Pereira

We investigate stability of the Einstein static solution against homogeneous scalar, vector and tensor perturbations in the context of Rastall theory of gravity. We show that this solution in the presence of perfect fluid and vacuum energy…

General Relativity and Quantum Cosmology · Physics 2018-07-10 F. Darabi , K. Atazadeh , Y. Heydarzade

We present modified Gauss-Bonnet gravity without matter in four dimensions which accommodates flat emergent universe (EU) obtained in Einstein's general theory of gravity with a non-linear equation of state. The EU model is interesting…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 B. C. Paul , S. D. Maharaj , A. Beesham

A new Lagrangian framework has recently been proposed to describe interactions between relativistic perfect fluids and scalar fields. In this paper we investigate the Einstein static universe in this new class of theories, which have been…

General Relativity and Quantum Cosmology · Physics 2016-01-06 Christian G. Boehmer , Nicola Tamanini , Matthew Wright

By considering the realization of the emergent universe scenario in Eddington-inspired Born-Infeld (EiBI) theory, we study the stability of the Einstein static universe filled with perfect fluid in EiBI theory against both the homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Shou-Long Li , Hao Wei

The formulation of Brans-Dicke (BD) gravity with matter in the Einstein frame is realized as Einstein gravity with dilaton and dilaton coupled matter. We calculate the one-loop 4d anomaly-induced effective action due to N dilaton- coupled…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Bodo Geyer , Sergei D. Odintsov , Sergio Zerbini