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There exist two consistent theories of massless, self-interacting gravitons, which differ by their local symmetries: general relativity and Weyl transverse gravity. We show that these two theories are also the only two metric descriptions…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

Weyl transverse gravity is a gravitational theory that is invariant under transverse diffeomorphisms and Weyl transformations. It is characterised by having the same classical solutions as general relativity while solving some of its issues…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

In this review we discuss emergence of unimodular gravity (or, more precisely, Weyl transverse gravity) from thermodynamics of spacetime. By analyzing three different ways to obtain gravitational equations of motion by thermodynamic…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Ana Alonso-Serrano , Marek Liška

The thermodynamics of local causal horizons has been shown to imply gravitational dynamics. In this essay, we discuss the principles underlying this observation, and its significance in our understanding of (quantum) gravity. We also show…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Marek Liška

We show that the classical equations of gravity follow from a thermodynamic relation, dQ = T dS, where S is taken to be the Wald entropy, applied to a local Rindler horizon at any point in spacetime. Our approach works for all…

High Energy Physics - Theory · Physics 2020-08-31 Maulik K. Parikh , Sudipta Sarkar

In this paper we revisit the motivation and construction of a unified theory of gravity and electromagnetism, following Weyl's insights regarding the appealing potential connection between the gauge invariance of electromagnetism and the…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

We study various classical aspects of the Weyl transverse (WTDiff) gravity in a general space-time dimension. First of all, we clarify a classical equivalence among three kinds of gravitational theories, those are, the conformally-invariant…

High Energy Physics - Theory · Physics 2017-05-24 Ichiro Oda

When the full connection of Weyl conformal gravity is varied instead of just the metric, the resulting vacuum field equations reduce to the vacuum Einstein equation, up to the choice of local units, if and only if the torsion vanishes. This…

General Relativity and Quantum Cosmology · Physics 2014-07-30 James T. Wheeler

Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-exact) 1-forms the spacetime manifolds are no more simply…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Michel Duneau

We derive the semi-classical gravitational dynamics from thermodynamics of local stretched light cones in 2-dimensional dilaton gravity, explicitly treating the backreaction of quantum matter through the conformal anomaly's effect on the…

High Energy Physics - Theory · Physics 2026-05-07 Ana Alonso-Serrano , Marek Liška , Michał Piotrak

We consider the thermodynamic properties of an exact black hole solution obtained in Weyl geometric gravity theory, by considering the simplest conformally invariant action, constructed from the square of the Weyl scalar, and the strength…

General Relativity and Quantum Cosmology · Physics 2024-08-05 Muhammad F. A. R. Sakti , Piyabut Burikham , Tiberiu Harko

We provide a gauge-invariant theory of gravitation in the context of Weyl Integrable Space-Times. After making a brief review of the theory's postulates, we carefully define the observers' proper-time and point out its relation with…

General Relativity and Quantum Cosmology · Physics 2014-10-31 F. P. Poulis , J. M. Salim

The Weyl geometric gravity theory, in which the gravitational action is constructed from the square of the Weyl curvature scalar and the strength of the Weyl vector, has been intensively investigated recently. The theory admits a…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Mohsen Khodadi , Tiberiu Harko

Despite the fact that General Relativity (GR) has been very successful, many alternative theories of gravity have attracted the attention of a significant number of theoretical physicists. Among these theories, we have theories with…

General Relativity and Quantum Cosmology · Physics 2019-05-14 J. B. Formiga

We construct a Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Yu Nakayama

We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation,…

High Energy Physics - Theory · Physics 2024-08-15 C. Condeescu , D. M. Ghilencea , A. Micu

Just after Weyl's paper (Weyl in Gravitation und Elektrizit\"at, Sitzungsber. Preuss. Akad., Berlin, 1918) Einstein claimed that a gravity model written in a spacetime geometry with non-metricity suffers from a phenomenon, the so-called…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Caglar Pala , Ozcan Sert , Muzaffer Adak

A comparison is given between the Newtonian and Einsteinian frames of gravitation. From this it is shown that there exist a weak connection to gravitation and electromagnetism. This connection is then studied more thoroughly with the Weyl…

General Physics · Physics 2007-05-23 E. F. Halerewicz

It was recently found that, after performing a Weyl conformal transformation, the familiar analogy between black hole mechanics and black hole thermodynamics becomes ambiguous. It was argued that this fact can be traced back to the…

General Relativity and Quantum Cosmology · Physics 2019-04-16 Fayçal Hammad , Daniel Dijamco

Weyl gravity has been advanced in the recent past as an alternative to General Relativity (GR). The theory has had some success in fitting galactic rotation curves without the need for copious amounts of dark matter. To check the viability…

Astrophysics · Physics 2008-12-30 A. Edery , M. B. Paranjape
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