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We review a novel and authentic way to quantize gravity. This novel approach is based on the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than a Riemannian geometry in the context of emergent…

High Energy Physics - Theory · Physics 2014-12-30 Jungjai Lee , Hyun Seok Yang

Einstein gravitation theory can be extended by preserving its geometrical nature but changing the relation between curvature and energy-momentum tensors. This change accounts for radiative corrections, replacing the Newton gravitation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

High Energy Physics - Theory · Physics 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

We work out the most general theory for the interaction of spacetime geometry and matter fields -- commonly referred to as geometrodynamics -- for spin-$0$ and spin-$1$ particles. The minimum set of postulates to be introduced is that (i)…

General Relativity and Quantum Cosmology · Physics 2022-10-06 Jürgen Struckmeier , David Vasak , Johannes Kirsch

We propose a step-by-step manual for the construction of alternative theories of gravity, perturbatively as well as nonperturbatively. The construction is guided by no more than two fundamental principles that we impose on the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Nils Alex , Tobias Reinhart

A recent proposal equates the circuit complexity of a quantum gravity state with the gravitational action of a certain patch of spacetime. Since Einstein's equations follow from varying the action, it should be possible to derive them by…

High Energy Physics - Theory · Physics 2018-01-24 Bartlomiej Czech

Any connection between dark matter and extra dimensions can be cognizably evinced from the associated effective energy-momentum tensor. In order to investigate and test such relationship, a higher dimensional spacetime endowed with a…

General Relativity and Quantum Cosmology · Physics 2013-07-17 C. H. Coimbra-Araujo , Roldao da Rocha

We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless…

High Energy Physics - Theory · Physics 2016-04-25 Atalay Karasu , Esin Kenar , Bayram Tekin

The Einstein-Hilbert action in three dimensions and the transformation rules for the dreibein and spin connection can be naturally described in terms of gauge theory. In this spirit, we use covariant coordinates in noncommutative gauge…

In previous works, we suggested considering a (3+1)D quantum gravitational field as an evolution of a (2+1)D renormalized quantum gravitational field along the direction of the gravitational force. The starting point of the suggestion is a…

General Relativity and Quantum Cosmology · Physics 2022-07-18 Merav Hadad

Dynamical generation of 4d gauge theories and gravity at low energy from the 3d ones at high energy is studied, based on the fermion condensation mechanism recently proposed by Arkani-Hamed, Cohen and Georgi. For gravity, 4d Einstein…

High Energy Physics - Theory · Physics 2009-11-07 Akio Sugamoto

We test ideas of the recently proposed first-order thermodynamics of scalar-tensor gravity using an exact geometry sourced by a conformally coupled scalar field. We report a non-monotonic behaviour of the effective ``temperature of…

General Relativity and Quantum Cosmology · Physics 2024-01-11 Numa Karolinski , Valerio Faraoni

We study the constraints coming from local causality requirement in various $2+1$ dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive…

High Energy Physics - Theory · Physics 2017-05-16 Jose D. Edelstein , Gaston Giribet , Carolina Gomez , Ercan Kilicarslan , Matias Leoni , Bayram Tekin

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M. Novello

In general, a global and unique vacuum state cannot be constructed for a curved space. As a remedy, we introduce a curved space background geometry with a Minkowski metric tensor and locally non-zero curvature and torsion. Based on this…

High Energy Physics - Theory · Physics 2021-09-07 Maysam Yousefian , Mehrdad Farhoudi

This work investigates the mechanism of gravitational baryogenesis (GB) under the formalism of f(R, G_{{\mu}{\nu}}T^{{\mu}{\nu}}) gravity, where R denotes the Ricci scalar, G_{{\mu}{\nu}} is the Einstein tensor and T^{{\mu}{\nu}} represents…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Kalyan Malakar , Rajdeep Mazumdar , Kalyan Bhuyan

Extended Theories of Gravity can be considered a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales. They are an approach that, by preserving the undoubtedly positive results of Einstein's Theory, is…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Salvatore Capozziello , Mariafelicia De Laurentis

The dual dynamics of Einstein gravity on AdS$_3$ supplemented with boundary conditions of KdV-type is identified. It corresponds to a two-dimensional field theory at the boundary, described by a novel action principle whose field equations…

High Energy Physics - Theory · Physics 2019-01-30 Hernán A. González , Javier Matulich , Miguel Pino , Ricardo Troncoso

Semiclassical Gravity replaces the energy momentum tensor $T_{\mu \nu}$ with its expectation value $\langle T_{\mu \nu}\rangle$ in Einstein equations, this making the Einstein tensor $G_{\mu \nu}$ a classical variable thus avoiding the…

Quantum Physics · Physics 2018-11-28 Sergio De Filippo

We present a new mass generation mechanism for linearized gravity in three spacetime dimensions, which consists of a lower-dimensional Chern-Simons-like term added to the invariant action. The propagators of the gauge fixed massive action…

High Energy Physics - Theory · Physics 2025-08-20 Erica Bertolini , Edoardo Lui , Nicola Maggiore
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