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We present a relativistic formulation of noncommutative mechanics were the object of noncommutativity $\theta^{\mu\nu}$ is considered as an independent quantity. Its canonical conjugate momentum is also introduced, what permits to obtain an…

高能物理 - 理论 · 物理学 2010-05-25 R. Amorim , E. M. C. Abreu , W. G. Ramirez

We propose a new theory of gravitation on noncommutative space-time which is invariant under the general coordinate transformations, while the local Lorentz invariance is realized as twisted gauge symmetry. Our theory is remarkably simpler…

高能物理 - 理论 · 物理学 2010-09-29 Archil Kobakhidze

In this paper, the connection between the Lorentz-covariant counterterms that regularize the four-dimensional AdS gravity action and topological invariants is explored. It is shown that demanding the spacetime to have a negative constant…

高能物理 - 理论 · 物理学 2009-11-11 Rodrigo Olea

We investigate new boundary conditions in three-dimensional asymptotically Anti-de Sitter gravity coupled to higher-spin fields, allowing for arbitrary boundary degrees of freedom. This generalization gives rise to an enlarged algebra of…

高能物理 - 理论 · 物理学 2025-09-19 Arnaud Delfante

We revisit a propagating torsion gravity theory obtained by introducing a field coupled to the Holst term in the first-order Einstein-Cartan action. The resulting theory has second order field equations, no adjustable coupling constants,…

广义相对论与量子宇宙学 · 物理学 2009-07-30 Alexander Torres-Gomez , Kirill Krasnov

In this work we study canonical gravity in finite regions for which we introduce a generalisation of the Gibbons-Hawking boundary term including the Immirzi parameter. We study the canonical formulation on a spacelike hypersuface with a…

广义相对论与量子宇宙学 · 物理学 2017-05-10 Laurent Freidel , Alejandro Perez , Daniele Pranzetti

The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincar\'e algebra and of an infinite-dimensional abelian algebra (with central…

高能物理 - 理论 · 物理学 2024-02-21 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

In this paper, we revisit the no black hole theorem in three dimensional (3D) gravity in the Newman-Penrose formalism in a generalized Newman-Unti gauge. After adapting the well established 4D NP formalism and its gauge and coordinates…

广义相对论与量子宇宙学 · 物理学 2024-06-19 Pujian Mao , Weicheng Zhao

We present a method for finding, in principle, all asymptotic gravitational charges. The basic idea is that one must consider all possible contributions to the action that do not affect the equations of motion for the theory of interest;…

高能物理 - 理论 · 物理学 2020-09-21 Hadi Godazgar , Mahdi Godazgar , Malcolm J. Perry

Holst term represents an interesting addition to the Einstein-Cartan theory of gravity with torsion. When this term is present the contact interactions between vector and axial vector fermion currents gain an extra parity-violating…

高能物理 - 理论 · 物理学 2014-09-01 Ilya L. Shapiro , Poliane M. Teixeira

We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also…

高能物理 - 理论 · 物理学 2007-05-23 Ivan Avramidi

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

广义相对论与量子宇宙学 · 物理学 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

Boundaries in gauge field theories are known to be the locus of a wealth of interesting phenomena, as illustrated for example by the holographic principle or by the AdS/CFT and bulk-boundary correspondences. In particular, it has been…

广义相对论与量子宇宙学 · 物理学 2017-09-28 Marc Geiller

In this work, conserved charges and fluxes at the future null infinity are determined in the asymptotically flat spacetime for Chern-Simons modified gravity. The flux-balance laws are used to constrain the memory effects. For tensor…

广义相对论与量子宇宙学 · 物理学 2022-04-22 Shaoqi Hou , Tao Zhu , Zong-Hong Zhu

Every spacetime that is asymptotically flat near null infinity can be conformally mapped via a spatial inversion onto the geometry around an extremal, non-rotating and non-expanding horizon. We set up a dictionary for this geometric…

高能物理 - 理论 · 物理学 2026-02-24 Shreyansh Agrawal , Panagiotis Charalambous , Laura Donnay

We study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by considering the boundary-preserving diffeomorphisms…

高能物理 - 理论 · 物理学 2023-07-20 Venkatesa Chandrasekaran , Eanna E. Flanagan , Kartik Prabhu

We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of the Klein-Gordon equation. The interpretation of Lorentz boosts as transformations to…

经典物理 · 物理学 2014-08-01 H. Arodź

There exists a large class of generally covariant metric Lagrangians that contain only local terms and describe two propagating degrees of freedom. Trivial examples can be be obtained by applying a local field redefinition to the Lagrangian…

广义相对论与量子宇宙学 · 物理学 2010-02-23 Kirill Krasnov

We consider the nondynamical Chern-Simons (nCS) modified gravity, which is regarded as a parity-odd theory of massive gravity in four dimensions. We first find polarization modes of gravitational waves for $\theta=x/\mu$ in nCS modified…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Yun Soo Myung , Taeyoon Moon

In this paper, we discuss a gravitational theory based on the generalized gauge field. Our Lagrangian is invariant not only under local Lorentz transformation and the ordinary gauge transformation but also under a new gauge transformation.…

高能物理 - 理论 · 物理学 2012-07-03 Kouzou Nishida