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Using as inspiration the well known chiral effective lagrangian describing the interactions of pions at low energies, in these lectures we review the quantization procedure of Einstein gravity in the spirit of effective field theories. As…

高能物理 - 理论 · 物理学 2014-11-20 D. Espriu , D. Puigdomenech

Two Lagrangian functions are used to construct geometric field theories. One of these Lagrangians depends on the curvature of space, while the other depends on curvature and torsion. It is shown that the theory constructed from the first…

广义相对论与量子宇宙学 · 物理学 2014-11-17 M. I. Wanas , Samah A. Ammar

We study the non-relativistic Newton-Cartan limit of higher-order gravity theories in arbitrary dimensions. We first study it at the level of the action by introducing an additional 1-form gauge field and coupling it appropriately to the…

高能物理 - 理论 · 物理学 2025-07-09 Biel Cardona , Luca Romano

We consider a gravitational model in which matter is non-minimally coupled to geometry, with the effective Lagrangian of the gravitational field being given by an arbitrary function of the Ricci scalar, the trace of the matter…

广义相对论与量子宇宙学 · 物理学 2024-11-18 Zahra Haghani , Tiberiu Harko , Francisco S. N. Lobo , Hamid Reza Sepangi , Shahab Shahidi

We show that the torsion of a Cartan geometry can be associated to two spin-2 fields. This structure allows a new approach to deal with the proposal of geometrization of spin-2 fields besides the traditional one dealt with in General…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Novello

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of…

高能物理 - 理论 · 物理学 2019-10-30 Daisuke Yoshida

Current generalizations of the classical Einstein-Hilbert Lagrangian formulation of General Relativity are reviewed. Some alternative variational principles are known to reproduce Einstein's gravitational equations, and should therefore be…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Guido Magnano

The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant…

广义相对论与量子宇宙学 · 物理学 2018-06-05 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

Einstein's equations in a tetrad formulation are derived from a linear theory in flat spacetime with an asymmetric potential using free field gauge invariance, local Lorentz invariance and universal coupling. The gravitational potential can…

广义相对论与量子宇宙学 · 物理学 2016-06-03 J. Brian Pitts

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for $d>2$. We couple a seed QFT to Einstein gravity with deformation parameter $\lambda$ and evaluate the gravitational path integral at…

高能物理 - 理论 · 物理学 2026-03-10 Yunfei Xie , Yun-Ze Li , Lixin Xu , Song He

We analyze 2+1-dimensional gravity in the framework of quantum gauge theory. We find that Einstein gravity has a trivial physical subspace which reflects the fact that the classical solution in empty space is flat. Therefore we study…

广义相对论与量子宇宙学 · 物理学 2010-08-10 D. R. Grigore , G. Scharf

Spinor gravity is a functional integral formulation of gravity based only on fundamental spinor fields. The vielbein and metric arise as composite objects. Due to the lack of local Lorentz-symmetry new invariants in the effective…

广义相对论与量子宇宙学 · 物理学 2007-05-23 C. Wetterich

In this essay we marshal evidence suggesting that Einstein gravity may be an emergent phenomenon, one that is not ``fundamental'' but rather is an almost automatic low-energy long-distance consequence of a wide class of theories.…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Carlos Barcelo , Matt Visser , Stefano Liberati

In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature $R$ and its derivatives up to order $n$, i.e.…

广义相对论与量子宇宙学 · 物理学 2019-05-07 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

We investigate the problem of derivation of consistent equations of motion for the massive spin 2 field interacting with gravity within both field theory and string theory. In field theory we derive the most general classical action with…

高能物理 - 理论 · 物理学 2009-10-31 I. L. Buchbinder , V. A. Krykhtin , V. D. Pershin

We consider a system of nonlinear spinor and scalar fields with minimal coupling in general relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of the invariants generated from the bilinear spinor…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Bijan Saha , G. N. Shikin

Upon treating the whole closed string massless sector as stringy graviton fields, Double Field Theory may evolve into Stringy Gravity, i.e. the stringy augmentation of General Relativity. Equipped with an $\mathrm{O}(D,D)$ covariant…

高能物理 - 理论 · 物理学 2018-06-22 Stephen Angus , Kyoungho Cho , Jeong-Hyuck Park

We give a derivation of general relativity and the gauge principle that is novel in presupposing neither spacetime nor the relativity principle. We consider a class of actions defined on superspace with two key properties. The first is…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Julian Barbour , Brendan Foster , Niall Ó Murchadha

It is shown that modified gravity theories with a Lagrangian composed of the three quadratic invariants of the Riemann curvature tensor are not appropriate. The field equations are either incompatible and/or irregular [like f(R)-gravities],…

广义相对论与量子宇宙学 · 物理学 2011-05-26 I. L. Zhogin

We figure out the explicit expression for the trace of the field equations associated to generic higher derivative theories of gravity endowed with Lagrangians depending upon the metric and its Riemann tensor, together with arbitrary order…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Jun-Jin Peng , Hua Li