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We revisit the problem of constraining the weak field limit of the gravitational lagrangian from S-matrix properties. From unitarity and Lorentz invariance of the S-matrix of massless gravitons, we derive on-shell gauge invariance to…

High Energy Physics - Theory · Physics 2019-01-30 Mario Herrero-Valea

It is commonly accepted that general relativity is the only solution to the consistency problem that appears when trying to build a theory of interacting gravitons (massless spin-2 particles). Padmanabhan's 2008 thought-provoking analysis…

General Relativity and Quantum Cosmology · Physics 2014-06-24 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

The renormalization group flow of unimodular quantum gravity is computed by taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions. In this setting, a ultraviolet attractive fixed point is found. Symmetry-breaking…

High Energy Physics - Theory · Physics 2020-07-14 Gustavo P. de Brito , Antonio D. Pereira

In this paper we study a modified version of unimodular general relativity in the context of $f(G)$, $G$ denoting the Gauss-Bonnet invariant. We attach attention to Bianchi-type I and Friendmann-Robertson-Walker universes and search for…

General Relativity and Quantum Cosmology · Physics 2017-10-25 M. J. S. Houndjo

In general relativity, the strong equivalence principle is underpinned by a geometrical interpretation of fields on spacetime: all fields and bodies probe the same geometry. This geometric interpretation implies that the parallel transport…

High Energy Physics - Theory · Physics 2024-04-17 Henrique Gomes

This paper is a comprehensive investigation of the Affine Gauge Theory (AGT) as a gauge theory of gravity having the same mathematical structure as gauge theories of the other fundamental forces of nature. This mathematical structure…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Kurniawan Tjandra , Kuldip Singh

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 Hamiltonian formalism of the generalized unimodular gravity theory, which was recently suggested as a model of dark energy, is shown to be a complicated example of constrained dynamical system. The set of its canonical constraints has a…

High Energy Physics - Theory · Physics 2019-08-07 A. O. Barvinsky , N. Kolganov , A. Kurov , D. Nesterov

It is well known that general relativity (GR) does not possess any non-trivial local (in a precise standard sense) and diffeomorphism invariant observables. We propose a generalized notion of local observables, which retain the most…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Igor Khavkine

It is claimed that in the unimodular gravity framework the observational fact of exponential expansion of the universe cannot be taken as evidence for the presence for a cosmological constant or similar quintessence.

General Relativity and Quantum Cosmology · Physics 2023-09-19 Enrique Alvarez , Jesus Anero

We present an alternative formulation of generalized unimodular gravity (GUMG), a class of modifications to general relativity characterized by a special partial breaking of general coordinate covariance. The action for this formulation is…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Dmitry Nesterov

There is considered an extension of gauge theories according to the assumption of a generalized uncertainty principle which implies a minimal length scale. A modification of the usual uncertainty principle implies an extended shape of…

General Physics · Physics 2011-12-06 Martin Kober

A new analysis of the gauge invariances and their unity with diffeomorphism invariances in second order metric gravity is presented which strictly follows Dirac's constrained Hamiltonian approach.

High Energy Physics - Theory · Physics 2009-09-25 Pradip Mukherjee , Anirban Saha

The structure of the divergences for transverse theories of gravity is studied to one-loop order. These theories are invariant only under those diffeomorphisms that enjoy unit Jacobian determinant (TDiff), so that the determinant of the…

High Energy Physics - Theory · Physics 2008-11-26 Enrique Alvarez , Anton F. Faedo , J. J. Lopez-Villarejo

Linear cosmological perturbation theory is pivotal to a theoretical understanding of current cosmological experimental data provided e.g. by cosmic microwave anisotropy probes. A key issue in that theory is to extract the gauge invariant…

General Relativity and Quantum Cosmology · Physics 2010-02-17 K. Giesel , S. Hofmann , T. Thiemann , O. Winkler

The unimodular metagravity, with the graviscalar as a dark matter, is compared with General Relativity (GR) in the presence of a scalar field. The effect of the graviscalar on the static spherically symmetric metric is studied. An exact…

General Relativity and Quantum Cosmology · Physics 2010-02-17 Yu. F. Pirogov

In this paper we apply the symmetry principle in order to search for an alternative unified explanation of several cosmological puzzles such as the present stage of accelerated expansion of the Universe and the Hubble tension issue, among…

General Relativity and Quantum Cosmology · Physics 2023-01-13 Israel Quiros

This chapter provides an introduction to Unimodular Gravity both at the classical and quantum level, discussing the r\^ole it might play in the partial solution of the Cosmological Constant problem. The main objective of this work is to…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Enrique Álvarez , Eduardo Velasco-Aja

We point out a generic inconsistency of the coupling of ordinary gravity as described by general relativity with matter invariant under the subgroup of unimodular diffeomorphisms (TDiffs), and some previously studied exceptions are pointed…

High Energy Physics - Theory · Physics 2008-11-26 Enrique Alvarez , Anton F. Faedo

Our conventional system of physical units is based on local or microscopic {\it dimensional} quantities which are {\it defined}, for convenience or otherwise aesthetic reasons, to be spacetime-independent. A more general choice of units may…

General Physics · Physics 2013-08-06 Meir Shimon