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Hybrid metric-Palatini gravity is a recently proposed theory, consisting of the superposition of the metric Einstein-Hilbert Lagrangian with an $f(\cal R)$ term constructed \`{a} la Palatini. The theory predicts the existence of a…

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

Gravitational decoherence (GD) refers to the effects of gravity in actuating the classical appearance of a quantum system. Because the underlying processes involve issues in general relativity (GR), quantum field theory (QFT) and quantum…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Charis Anastopoulos , Bei-Lok Hu

Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction…

High Energy Physics - Theory · Physics 2012-12-24 Gregory Gabadadze , Kurt Hinterbichler , Justin Khoury , David Pirtskhalava , Mark Trodden

We give a derivation of general relativity and the gauge principle that is novel in presupposing neither spacetime nor the relativity principle. We consider a class of actions defined on superspace with two key properties. The first is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Julian Barbour , Brendan Foster , Niall Ó Murchadha

We develop a novel approach to gravity that we call `matrix general relativity' (MGR) or `gravitational chromodynamics' (GCD or GQCD for quantum version). Gravity is described in this approach not by one Riemannian metric (i.e. a symmetric…

High Energy Physics - Theory · Physics 2011-03-31 Ivan G. Avramidi

A model of matter-coupled gravity in two dimensions is quantized. The crucial requirement for performing the quantization is the vanishing of the conformal anomaly, which is achieved by tuning a parameter in the interaction potential. The…

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta , S. Mignemi

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

General Relativity (GR) is consistent with a wide range of experiments/observations from millimeter scales up to galactic scales and beyond. However, there are reasons to believe that GR may need to be modified because it includes…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Leandros Perivolaropoulos , Lavrentios Kazantzidis

The different roles and natures of spacetime appearing in a quantum field theory and in classical physics are analyzed implying that a quantum theory of gravitation is not necessarily a quantum theory of curved spacetime. Developing an…

General Relativity and Quantum Cosmology · Physics 2015-06-16 C. Wiesendanger

The introduction of General Relativity (GR) in 1915 revolutionized our understanding of gravity, but over time, its limitations in explaining phenomena like dark energy, dark matter, and quantum gravity have motivated alternative theories.…

General Relativity and Quantum Cosmology · Physics 2025-07-08 N. S. Kavya

Among relativistic theories of gravitation the closest ones to general relativity are the scalar-tensor ones and these with Lagrangians being any function f(R) of the curvature scalar. A complete chart of relationships between these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leszek M. Sokolowski

The configuration space of general relativity is superspace - the space of all Riemannian 3-metrics modulo diffeomorphisms. However, it has been argued that the configuration space for gravity should be conformal superspace - the space of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bryan Kelleher

The focus of this article is on a modification of General Relativity (GR) governed by a dynamical scalar field. The latter is able to acquire a nonzero spacetime-dependent vacuum expectation value, which gives rise to a spontaneous…

General Relativity and Quantum Cosmology · Physics 2024-07-31 João Victor V. Santos , Marco Schreck

A conventional wisdom often perpetuated in the literature states that: (i) a 3+1 decomposition of space-time into space and time is synonymous with the canonical treatment and this decomposition is essential for any Hamiltonian formulation…

General Relativity and Quantum Cosmology · Physics 2011-07-13 N. Kiriushcheva , S. V. Kuzmin

We establish a correspondence between general relativity with diffeomorphism invariance and scalar field theories with Galilean invariance: notions such as the Levi-Civita connection and the Riemann tensor have a Galilean counterpart. This…

High Energy Physics - Theory · Physics 2016-03-02 Remko Klein , Mehmet Ozkan , Diederik Roest

Current generalizations of the classical Einstein-Hilbert Lagrangian formulation of General Relativity are reviewed. Some alternative variational principles are known to reproduce Einstein's gravitational equations, and should therefore be…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Guido Magnano

Bigravity is a natural arena where a non-linear theory of massive gravity can be formulated. If the interaction between the metrics $f$ and $g$ is non-derivative, spherically symmetric exact solutions can be found. At large distances from…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas , C. Deffayet , J. Garriga

We study the general class of gravitational field theories constructed on the basis of scale invariance (and therefore absence of any mass parameters) and invariance under transverse diffeomorphisms (TDiff), which are the 4-volume…

High Energy Physics - Theory · Physics 2011-08-12 Diego Blas , Mikhail Shaposhnikov , Daniel Zenhausern

Quadratic gravity is a well-motivated extension of general relativity~(GR) wherein the Einstein-Hilbert action is augmented by quadratic curvature terms. This theory is equivalent to GR in an effective-field-theory framework, while the two…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani