Results 51 to 60 of about 58,187 (222)

Affine Dynamics with Torsion [PDF]

, 2016
In this study, we give a thorough analysis of a general affine gravity with torsion. After a brief exposition of the affine gravities considered by Eddington and Schr\"{o}dinger, we construct and analyze different affine gravities based on the ...
Gultekin, Kemal
core   +2 more sources

The structure of the curvature tensor of plane gravitational waves

Journal of Physics: Conference Series, 2021
Plane gravitational waves in the Riemann space of General Relativity is considered. The criterion of plane gravitational waves is used based on the analogy between plane gravitational and electromagnetic waves.
O. V. Babourova, B. N. Frolov, M. S. Khetzeva, D. Kushnir   +3 more
semanticscholar   +1 more source

Renormalization group equations and the recurrence pole relations in pure quantum gravity

Nuclear Physics B, 2021
In the framework of dimensional regularization, we propose a generalization of the renormalization group equations in the case of the perturbative quantum gravity that involves renormalization of the metric and of the higher order Riemann curvature ...
Sergey N. Solodukhin
doaj   +1 more source

On the Riemann Tensor in Double Field Theory [PDF]

, 2012
Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry.
A Coimbra, AA Tseytlin, AA Tseytlin, Barton Zwiebach, C Albertsson, C Hillmann, C Hull, C Hull, CG Callan Jr, D Andriot, D Geissbuhler, DC Thompson, DS Berman, DS Berman, DS Berman, DS Berman, DS Berman, G Aldazabal, I Jeon, I Jeon, I Jeon, I Jeon, IA Batalin, IA Batalin, KA Meissner, MJ Duff, MJ Duff, N Kaloper, NB Copland, NB Copland, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, O Hohm, Olaf Hohm, P West, PAM Dirac, SK Kwak, W Siegel, W Siegel   +45 more
core   +2 more sources

Generalization of Einstein’s gravitational field equations

European Physical Journal C: Particles and Fields, 2017
The Riemann tensor is the cornerstone of general relativity, but as is well known it does not appear explicitly in Einstein’s equation of gravitation. This suggests that the latter may not be the most general equation. We propose here for the first time,
Frédéric Moulin
doaj   +1 more source

Torsional dark energy in quadratic gauge gravity

European Physical Journal C: Particles and Fields, 2023
The covariant canonical gauge theory of gravity (CCGG) is a gauge field formulation of gravity which a priori includes non-metricity and torsion. It extends the Lagrangian of Einstein’s theory of general relativity by terms at least quadratic in the ...
Armin van de Venn, David Vasak, Johannes Kirsch, Jürgen Struckmeier   +3 more
doaj   +1 more source

Holographic entanglement entropy for perturbative higher-curvature gravities

Journal of High Energy Physics, 2021
The holographic entanglement entropy functional for higher-curvature gravities involves a weighted sum whose evaluation, beyond quadratic order, requires a complicated theory-dependent splitting of the Riemann tensor components.
Pablo Bueno, Joan Camps, Alejandro Vilar López   +2 more
doaj   +1 more source

Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity

, 2010
We study theories of gravity with non-minimal coupling between polarized media with pole-dipole and quadrupole moments and an arbitrary function of the space-time curvature scalar $R$ and the squares of the Ricci and Riemann curvature tensors.
J. M. Souriau, Morteza Mohseni
core   +1 more source

On Differential Equations Derived from the Pseudospherical Surfaces

Abstract and Applied Analysis, 2014
We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar σ = −2, σ = −1 ...
Hongwei Yang, Xiangrong Wang, Baoshu Yin
doaj   +1 more source

The probe of curvature in the Lorentzian AdS2/CFT1 correspondence

Physics Letters B, 2019
We establish the Lorentzian AdS2/CFT1 correspondence from a reconstruction of all bulk points through the kinematic-space approach. The OPE block is exactly a bulk local operator.
Xing Huang, Chen-Te Ma
doaj   +1 more source