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We extend Maldacena's argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact…

High Energy Physics - Theory · Physics 2021-02-24 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first order…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

In this note we construct a dual formulation of gravity where the main dynamical object is affine connection. We start with the well known first order Palatini formulation but in (Anti) de Sitter space instead of flat Minkowski space as a…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

High Energy Physics - Theory · Physics 2009-11-10 C. Wetterich

It is shown that Einstein gravity tends to modify the electric and magnetic fields appreciably at distances of the order of the Compton wavelength. At that distance the gravitational field becomes spin dominated rather than mass dominated.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kjell Rosquist

The Einstein-Hilbert action has a bulk term and a surface term (which arises from integrating a four divergence). I show that one can obtain Einstein's equations from the surface term alone. This leads to: (i) a novel, completely self…

General Relativity and Quantum Cosmology · Physics 2009-11-11 T. Padmanabhan

In the purely affine formulation of gravity, the gravitational field is represented by the symmetric part of the Ricci tensor of the affine connection. The classical electromagnetic field can be represented in this formulation by the second…

General Relativity and Quantum Cosmology · Physics 2007-07-12 Nikodem J. Poplawski

We describe an action principle, within the framework of the Eddington gravity, which incorporates the matter fields in a simple manner. Interestingly, the gravitational field equations derived from this action is identical to the…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Sumanta Chakraborty , T. Padmanabhan

We investigate an action that includes simultaneously original and dual gravitational fields (in the first order formalism), where the dual fields are completely determined in terms of the original fields through axial gauge conditions and…

High Energy Physics - Theory · Physics 2008-11-26 U. Ellwanger

We investigate composite models of gravity and explore how dynamical tensor fields can emerge within the functional renormalization group framework. We consider two prototype models: a fermionic theory and a scalar theory. In both cases, an…

High Energy Physics - Theory · Physics 2026-04-30 Yadikaer Maitiniyazi , Masatoshi Yamada

Modified theories of gravity often introduce geometric structure beyond general relativity in order to address unresolved problems in the gravitational sector without invoking ad hoc matter fields. Mimetic gravity, for example, generates an…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Moustafa Ismail , David Mattingly

A possible way out of the conundrum of quantum gravity is the proposal that general relativity (GR) is not a fundamental theory but emerges from an underlying microscopic description. Despite recent interest in the emergent gravity program…

History and Philosophy of Physics · Physics 2018-04-24 Niels S. Linnemann , Manus R. Visser

In the general relativity theory the basic ingredient to describe gravity is the geometry, which interacts with all forms of matter and energy, and as such, the metric could be interpreted as a true physical quantity. However the metric is…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Mario Novello , Júnior D. Toniato

The two-phase structure is imposed on the world continuum, with the graviton emerging as the tensor Goldstone boson during the spontaneous transition from the affinely connected phase to the metric one. The physics principle of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yu. F. Pirogov

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonzalo J. Olmo

Just like the vector bosons in Abelian and non-Abelian gauge theories, gravitons can attain mass by spontaneous local symmetry breaking. The question is whether this can happen in a Lorentz-invariant way. We consider the use of four scalar…

High Energy Physics - Theory · Physics 2008-01-07 Gerard 't Hooft

We show that inflation and current cosmic acceleration can be generated by a metric-affine f(R) gravity formulated in the Einstein conformal frame, if the gravitational Lagrangian L(R) contains both positive and negative powers of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikodem J. Poplawski

Scalar fields have had a long and controversial life in gravity theories, having progressed through many deaths and resurrections. The first scientific gravity theory, Newton's, was that of a scalar potential field, so it was natural for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carl H. Brans

A symmetric zero mass tensor of rank two is constructed using the superstring modes of excitation which satisfies the physical state constraints of a superstring. These states have one to one correspondence with quantised operators and are…

High Energy Physics - Theory · Physics 2014-11-18 B. B. Deo , P. K. Jena , L Maharana
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