<b> <i>Lsdiff</i> </b> and the Einstein equations

James D. E. Grant

Type: Article

Publication Date: 1996-01-01

Citations: 1

DOI: https://doi.org/10.1088/0264-9381/13/1/001

Abstract

We give a formulation of the vacuum Einstein equations in terms of a set of volume-preserving vector fields on a 4-manifold . These vectors satisfy a set of equations which are a generalization of the Yang - Mills equations for a constant connection on flat spacetime.

Locations

Classical and Quantum Gravity - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Geometry of the Einstein and Yang-Mills equations	1997	E. M. Monte M. D. Maia
+	A relation between the Einstein and the Yang-Mills field equations	1977	P. Olesen
+	The Einstein-Yang-Mills equations	1991	G. Giachetta L. Mangiarotti Raffaele Vitolo
+	Einstein-Yang-Mills Gauge Transformations	1999	L. C. Shepley Josep M. Pons Donald Salisbury
+ PDF Chat	Yang-Mills Connections and Einstein-Hermitian Metrics	1990	Mitsuhiro Itoh Hiraku Nakajima
+	$L\rm sdiff\,\scr M$ and the Einstein equations	1996	Jde Grant
+ PDF Chat	The Einstein-Scalar Field Constraints on Asymptotically Euclidean Manifolds*	2006	Yvonne Choquet–Bruhat James Isenberg Daniel Pollack
+	The Maxwell-Klein Equation in a Lorentzian Manifold	1996	Joseph Muscat
+	Vector-spinor space and field equations	1987	Nathan Rosen G. E. Tauber
+ PDF Chat	Yang–Mills Connections and Einstein–Hermitian Metrics	2018	Mitsuhiro Itoh Hiraku Nakajima
+ PDF Chat	A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds	2007	Emmanuel Hebey F. Pacard D. Pollack
+	The Einstein-scalar field Lichnerowicz equations on graphs	2024	Leilei Cui Yong Liu Chunhua Wang Jun Wang Wen Yang
+	The Einstein Equations as Equations for a Massless Tensor Field with Spin 2	1966	V.I. Ogievetskii I.V. Polubarinov
+	Maxwell Equations and the 4-Spinor Space Vector Structure	1985	Z Jankovic
+	A symplectic structure for the Einstein-Maxwell field	1977	Wiktor Szczyrba
+	Equations of Motion in a Covariant Field Theory.	1952	Joshua N. Goldberg
+	Einstein’s equations and Clifford algebra	1999	Patrick Girard
+	Symmetry of Einstein - Yang - Mills systems and dimensional reduction	1984	Arkadiusz Jadczyk
+	World vectors, Jacobi vectors and Jacobi one-forms on a manifold with a linear symmetric connection	1981	Ruprecht Schattner Manfred Trümper
+	6. Vector fields and vector calculus	2020

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Emergent spacetime and the origin of gravity	2009	Hyun Seok Yang

Works Cited by This (7)

Action	Title	Year	Authors
+	Ambi-twistors and Einstein's equations	1985	Claude LeBrun
+	Canonical structures on anti‐self‐dual four‐manifolds and the diffeomorphism group	1991	Sarbarish Chakravarty Lionel Mason Ezra T. Newman
+	Conformal Einstein spaces	1985	Carlos N. Kozameh Ezra T. Newman K. P. Tod
+ PDF Chat	A connection between the Einstein and Yang-Mills equations	1989	Lionel Mason Ezra T. Newman
+	Conformal gravity, the Einstein equations and spaces of complex null geodesics	1987	R. J. Baston Lionel Mason
+ PDF Chat	Some solutions of complex Einstein equations	1975	Jerzy Plebański
+	Twistors in Mathematics and Physics	1990	T. N. Bailey R. J. Baston