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Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism. For linearized Regge calculus on a flat background -- which exhibits…

广义相对论与量子宇宙学 · 物理学 2011-08-11 Bianca Dittrich , Philipp A Hoehn

A "quantum-first" approach to gravity is described, where rather than quantizing general relativity, one seeks to formulate the physics of gravity within a quantum-mechanical framework with suitably general postulates. Important guides are…

高能物理 - 理论 · 物理学 2018-05-23 Steven B. Giddings

The covariant scheme is proposed to couple gravity and electrodynamics in pseudo-Riemannian four-spaces with electromagnetic connections. Novel dynamics of the extended charge and electromagnetic dilation-compression of its proper time can…

广义相对论与量子宇宙学 · 物理学 2007-05-23 I. E. Bulyzhenkov

Covariant renormalizable gravity is a Horava-like extension of general relativity, enjoying full diffeomorphism invariance. However, the price to pay in order to maintain both covariance and renormalizability is the presence of an unknown…

广义相对论与量子宇宙学 · 物理学 2017-03-23 Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

The structure of quantum interactions with fields of helicity two ("gravitons") is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, some…

高能物理 - 理论 · 物理学 2023-09-06 Christian Gaß , José M. Gracia-Bondía , Karl-Henning Rehren

Modified theories of gravity have been invoked recently as an alternative to dark energy, in an attempt to explain the apparent accelerated expansion of the universe at the present time. In order to describe inhomogeneities in cosmological…

广义相对论与量子宇宙学 · 物理学 2016-04-15 Adam J. Christopherson

There is significant recent work on coupling matter to Newton-Cartan spacetimes with the aim of investigating certain condensed matter phenomena. To this end, one needs to have a completely general spacetime consistent with local…

高能物理 - 理论 · 物理学 2015-11-03 Michael Geracie , Kartik Prabhu , Matthew M. Roberts

The effective action for 2d-gravity with manifest area-preserving invariance is obtained in the flat and in the general gravitational background. The cocyclic properties of the last action are proved, and generalizations on higher…

高能物理 - 理论 · 物理学 2009-10-28 D. R. Karakhanyan , R. P. Manvelyan , R. L. Mkrtchyan

For field theories in curved spacetime, defining how matter gravitates is part of the theory building process. In this letter, we adopt Bekenstein's multiple geometries approach to allow part of the matter sector to follow the geodesics on…

高能物理 - 理论 · 物理学 2020-01-03 A. Emir Gumrukcuoglu , Ryo Namba

The field equations in modified gravity theories possess an important decoupling property with respect to certain classes of nonholonomic frames. This allows us to construct generic off--diagonal solutions depending on all spacetime…

广义相对论与量子宇宙学 · 物理学 2015-02-23 Sergiu I. Vacaru

It is possible to implement a certain form of modified gravity inspired by loop quantization through non-bijective canonical transformations. The canonical nature might suggest that such modifications are guaranteed to preserve general…

广义相对论与量子宇宙学 · 物理学 2021-07-07 Martin Bojowald

We argue that a conformally invariant extension of general relativity coupled to the Standard Model is the fundamental theory that needs to be quantized. We show that it can be treated by loop quantum gravity techniques. Through a gauge…

广义相对论与量子宇宙学 · 物理学 2017-01-24 Miguel Campiglia , Rodolfo Gambini , Jorge Pullin

We apply the covariant analytic mechanics with the differential forms to the Dirac field and the gravity with the Dirac field. The covariant analytic mechanics treats space and time on an equal footing regarding the differential forms as…

广义相对论与量子宇宙学 · 物理学 2016-05-25 Satoshi Nakajima

Certain versions of mimetic gravity have recently been claimed to present potential covariant theories of canonically modified spherically symmetric gravity, motivated by ingredients from loop quantum gravity. If such an equivalence were to…

广义相对论与量子宇宙学 · 物理学 2024-04-22 Martin Bojowald , Erick I. Duque

We describe a scheme for the exploration of quantum gravity phenomenology focussing on effects that could be thought as arising from a fundamental granularity of space-time. In contrast with the simplest assumptions, such granularity is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yuri Bonder , Daniel Sudarsky

We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary…

广义相对论与量子宇宙学 · 物理学 2024-02-27 Daniel Blixt , Alexey Golovnev , Maria-Jose Guzman , Ramazan Maksyutov

For a given space-time and for an arbitrary time-like geodesic, we analyze the conditions for the construction of Fermi coordinates so that they are also rigid covariant. We then apply these conditions to linear plane gravitational waves.

广义相对论与量子宇宙学 · 物理学 2019-10-23 Xavier Jaén

The $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. The scalar field couples with the matter sector and the coupling term is given by the…

广义相对论与量子宇宙学 · 物理学 2011-03-07 Yousef Bisabr

We define covariantly a deformation of a given algebra, then we will see how it can be related to a deformation quantization of a class of observables in Quantum Field Theory. Then we will investigate the operator order related to this…

数学物理 · 物理学 2007-05-23 Dikanaina Harrivel

A novel first order action principle has been proposed as the possible foundation for a more fundamental theory of General Relativity and the Standard Model. It is shown in this article that the proposal consistently incorporates gravity…

高能物理 - 理论 · 物理学 2024-03-27 Priidik Gallagher , Tomi S. Koivisto , Luca Marzola , Ludovic Varrin , Tom Zlosnik