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We discuss two scenarios of emergent gravity. In one of them the quantum vacuum is considered as superplastic crystal, and the effective gravity describes the dynamical elastic deformations of this crystal. In the other one the…

General Relativity and Quantum Cosmology · Physics 2021-06-16 G. E. Volovik

We study a scale invariant two measures theory where a dilaton field \phi has no explicit potentials. The scale transformations include a shift \phi\to\phi+const. The theory demonstrates a new mechanism for generation of the exponential…

High Energy Physics - Theory · Physics 2007-05-23 E. I. Guendelman , A. B. Kaganovich

We develop the effective field theory (EFT) of perturbations in the context of scalar-tensor theories with a spacelike scalar profile on arbitrary black hole backgrounds. Our construction of the EFT is based on the fact that in the unitary…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Shinji Mukohyama , Emeric Seraille , Kazufumi Takahashi , Vicharit Yingcharoenrat

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations in QFT force generalized symmetries to appear in dual pairs. Verifying this prediction helps us find the full set of…

High Energy Physics - Theory · Physics 2023-05-24 Valentin Benedetti , Pablo Bueno , Javier M. Magan

We formulate the effective field theory (EFT) of vector-tensor gravity for perturbations around an arbitrary background with a ${\it timelike}$ vector profile, which can be applied to study black hole perturbations. The vector profile…

High Energy Physics - Theory · Physics 2024-03-08 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi , Vicharit Yingcharoenrat

We argue that the most conservative geometric extension of Einstein gravity describing both positive and negative mass sources and observers is bimetric gravity and contains two copies of standard model matter which interact only…

General Relativity and Quantum Cosmology · Physics 2009-11-16 Manuel Hohmann , Mattias N. R. Wohlfarth

I investigate the general extension of Einstein's gravity by considering the third rank non-metricity tensor and the torsion tensor. The minimal coupling to Dirac fields faces an ambiguity coming from a severe arbitrariness of the…

General Relativity and Quantum Cosmology · Physics 2018-08-07 G. de Berredo-Peixoto

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

The bimetric theory of gravity is an extension of general relativity that describes a massive spin-$2$ particle in addition to the standard massless graviton. The theory is based on two dynamical metric tensors with their interactions…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein--Cartan theory and the possible interpretation of the torsion trace as the…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Horie

We examine effective field theories (EFTs) with a continuum sector in the presence of gravity. We first explain, via arguments based on central charge and species scale, that an EFT with a free continuum cannot consistently couple to…

High Energy Physics - Phenomenology · Physics 2023-05-31 Sylvain Fichet , Eugenio Megias , Mariano Quiros

We present a novel derivation of the spacetime metric generated by matter, without invoking Einstein's field equations. For static sources, the metric arises from a relativistic formulation of D'Alembert's principle, where the inertial…

History and Philosophy of Physics · Physics 2025-10-17 Jaume de Haro , Emilio Elizalde

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

The coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state are derived. Using numerical methods, we construct an infinite number of soliton-like solutions of these equations.…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Brian Pitts , W. C. Schieve

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

We consider a general class of quantum gravity-inspired, modified gravity theories, where the Einstein-Hilbert action is extended through the addition of all terms quadratic in the curvature tensor coupled to scalar fields with standard…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Kent Yagi , Leo C. Stein , Nicolas Yunes , Takahiro Tanaka

The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. The simplest Friedmann--Robertson--Walker metric is employed to formulate the dynamics in both the Jordan frame and…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Orest Hrycyna

We consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. An appropriate choice of the metric hides the scalar degree of freedom which is required by the local scale invariance of the action at the first sight, and then a…

General Relativity and Quantum Cosmology · Physics 2010-12-27 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner
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