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In this paper, the polarization modes of gravitational waves in Horndeski gravity are studied under the Palatini formalism. After obtaining the linearized equation of perturbations in Minkowski background, we find that the polarization…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Yu-Qi Dong , Yu-Xiao Liu

A gravitationally-induced modification to de Broglie wave-particle duality is presented. At Planck scale, the gravitationally-modified matter wavelength saturates to a few times the Planck length in a momentum independent manner. In certain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. V. Ahluwalia

There is a class of Laplacian like conformally invariant differential operators on differential forms $L^\ell_k$ which may be considered the generalisation to differential forms of the conformally invariant powers of the Laplacian known as…

Differential Geometry · Mathematics 2013-04-10 A. Rod Gover , Josef Silhan

A model for quantum gravity in one (time) dimension is discussed, based on Regge's discrete formulation of gravity. The nature of exact continuous lattice diffeomorphisms and the implications for a regularized gravitational measure are…

High Energy Physics - Theory · Physics 2009-10-28 Herbert W. Hamber , Ruth M. Williams

We consider geometric operators, such as the geodesic length and the volume of hypersurfaces, in the context of the Asymptotic Safety scenario for quantum gravity. We discuss the role of these operators from the Asymptotic Safety…

General Relativity and Quantum Cosmology · Physics 2019-04-16 Maximilian Becker , Carlo Pagani

We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just like Einstein's gravity, has only a massless…

High Energy Physics - Theory · Physics 2016-04-25 Atalay Karasu , Esin Kenar , Bayram Tekin

Regularized Einstein-Gauss-Bonnet (EGB) theory of gravity in four dimensions is a new attempt to include nontrivial contributions of Gauss-Bonnet term. In this paper, we make a detailed analysis on possible constraints of the model…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Jia-Xi Feng , Bao-Min Gu , Fu-Wen Shu

In this work we explore the dynamics of the generalized hybrid metric-Palatini theory of gravity in the weak-field, slow-motion regime. We start by introducing the equivalent scalar-tensor representation of the theory, which contains two…

General Relativity and Quantum Cosmology · Physics 2021-12-14 João Luís Rosa , Francisco S. N. Lobo , Gonzalo J. Olmo

We consider the discrete $Z_4$ symmetry ${\hat {\bf i}}$, which takes place in the scenario of quantum gravity where the gravitational tetrads emerge as the order parameter. Under this symmetry operation $\hat {\bf i}$, the emerging tetrads…

Other Condensed Matter · Physics 2024-08-29 G. E. Volovik

When four-dimensional general relativity is embedded in an unconstrained man-ner in a fifth dimension, the physical quantities of spacetime can be interpreted as geometrical properties related to the extra dimension. It has become…

General Relativity and Quantum Cosmology · Physics 2010-06-18 Paul S. Wesson

In this paper the quantization of the 2$+$1-dimensional gravity couplet to the massless Dirac field is carried out. The problem is solved by the application of the new Dynamic Quantization Method [1,2]. It is well-known that in general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. N. Vergeles

We firstly generalize the massive scalar propagator for planar gravitational waves propagating on Minkowski space obtained recently in Ref. [1]. We then use this propagator to study the response of a freely falling Unruh-DeWitt detector to…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Tomislav Prokopec

Motivated by noncommutative geometry and quantum physics, the concept of `metric operator field' is introduced. Roughly speaking, a metric operator field is a vector field on a set with values in self tensor product of a bundle of…

Operator Algebras · Mathematics 2019-07-31 Maysam Maysami Sadr

Einstein-aether theory is extended by allowing for spinning degrees of freedom of the aether. In addition to the acceleration, shear, expansion, and vorticity of the aether velocity field, a spin rotation describing the dynamics of a…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Christopher Kohler

In the Brans-Dicke model we treat the scalar field exactly and expand the gravitational field in a power series. A comparison with 2D sigma models and \phi^{4} perturbation theory in four dimensions suggests that the perturbation series in…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

Mimetic gravity is a modified theory of gravity which is able to incorporate dark matter into the underlying geometry of space-time by isolating the conformal degree of freedom. The theory has been studied extensively in the cosmological…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonid Sarieddine

We examine radiative corrections arising from Lorentz violating dimension five operators presumably associated with Planck scale physics as recently considered by Myers and Pospelov. We find that observational data result in bounds on the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alejandro Perez , Daniel Sudarsky

Despite the tremendous success of general relativity so far, modified theories of gravity have received increased attention lately, motivated from both theoretical and observational aspects. Gravitational wave observations opened new…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Sharaban Tahura , Kent Yagi

We study an Immirzi-like ambiguity in three-dimensional quantum gravity. It shares some features with the Immirzi parameter of four-dimensional loop quantum gravity: it does not affect the equations of motion, but modifies the Poisson…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valentin Bonzom , Etera R. Livine

The modification to four--dimensional Einstein gravity at low energy in two brane models is investigated within supergravity in singular spaces. Using perturbation theory around a static BPS background, we study the effective…

High Energy Physics - Theory · Physics 2009-11-07 P. Brax , C. van de Bruck , A. C. Davis , C. S. Rhodes