• Publications
  • Influence
The embedding of space–times in five dimensions with nondegenerate Ricci tensor
We discuss and prove a theorem which asserts that any n-dimensional semi-Riemannian manifold can be locally embedded in an (n+1)-dimensional space with a nondegenerate Ricci tensor which is equal, upExpand
Scalar torsion and a new symmetry of general relativity
We reformulate the general theory of relativity in the language of Riemann–Cartan geometry. We start from the assumption that the space-time can be described as a non-Riemannian manifold, which, inExpand
Equivalence of three-dimensional spacetimes
A solution to the equivalence problem in three-dimensional gravity is given and a practically useful method to obtain a coordinate invariant description of local geometry is presented. The method isExpand
Violation of the Nernst heat theorem in the theory of the thermal Casimir force between Drude metals
We give a rigorous analytical derivation of low-temperature behavior of the Casimir entropy in the framework of the Lifshitz formula combined with the Drude dielectric function. An earlier resultExpand
General relativity and Weyl geometry
We show that the general theory of relativity can be formulated in the language of Weyl geometry. We develop the concept of Weyl frames and point out that the new mathematical formalism may lead toExpand
Does the Brans-Dicke theory of gravity go over to general relativity when ω←∞?☆
Abstract We discuss the limit of the Brans-Dicke theory of gravity when ω goes to infinity and show by working out some examples that in this limit it is not always true that this theory reduces toExpand
Embeddings in space-times sourced by scalar fields
The extension of the Campbell–Magaard embedding theorem to general relativity with minimally coupled scalar fields is formulated and proven. The result is applied to the case of a self-interactingExpand
The embedding of the space–time in five dimensions: An extension of the Campbell–Magaard theorem
We extend the Campbell–Magaard embedding theorem by proving that any n-dimensional semi-Riemannian manifold can be locally embedded in an (n+1)-dimensional Einstein space. We work out some examplesExpand
From Brans-Dicke gravity to a geometrical scalar-tensor theory
We consider an approach to the Brans-Dicke theory of gravity in which the scalar field has a geometrical nature. By postulating the Palatini variation, we find out that the role played by the scalarExpand
AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R -1 and R 4
We study multi-dimensional gravitational models with scalar curvature nonlinearities of types R−1 and R4. It is assumed that the corresponding higher dimensional spacetime manifolds undergo aExpand