D
David Lovelock
Researcher at University of Arizona
Publications - 12
Citations - 4063
David Lovelock is an academic researcher from University of Arizona. The author has contributed to research in topics: Einstein tensor & Introduction to the mathematics of general relativity. The author has an hindex of 7, co-authored 12 publications receiving 3550 citations.
Papers
More filters
Journal ArticleDOI
The Einstein Tensor and Its Generalizations
TL;DR: In this paper, the number of independent tensors of this type depends crucially on the dimension of the space, and, in the four dimensional case, the only tensors with these properties are the metric and the Einstein tensors.
Journal ArticleDOI
The four-dimensionality of space and the einstein tensor
Abstract: All tensors of contravariant valency two, which are divergence free on one index and which are concomitants of the metric tensor, together with its first two derivatives, are constructed in the four‐dimensional case. The Einstein and metric tensors are the only possibilities.
Book
Tensors, differential forms, and variational principles
David Lovelock,Hanno Rund +1 more
TL;DR: A self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers and applied mathematicians is presented.
Journal ArticleDOI
The uniqueness of the einstein field equations in a four-dimensional space.
TL;DR: In this article, the Euler-Lagrange equations corresponding to a Lagrange density which is a function of g ≥ 2 and its first two derivatives are investigated and necessary and sufficient conditions for these equations to be of second order are obtained and it is shown that in a four-dimensional space the Einstein field equations (with cosmological term) are the only permissible second order Euler Lagrange equations.
Journal ArticleDOI
Bivector field theories, divergence‐free vectors and the Einstein–Maxwell field equations
TL;DR: In this paper, a new derivation of the complete set of the Einstein-Maxwell field equations is presented which involves neither a variational principle nor the existence of a vector field (the so-called 4potential).