Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

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, up… Expand

Scalar torsion and a new symmetry of general relativity

- J. B. Fonseca-Neto, C. Romero, S. G. Martinez
- Physics
- 7 November 2012

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, in… Expand

Equivalence of three-dimensional spacetimes

- F. C. Sousa, J. B. Fonseca, C. Romero
- Physics
- 5 May 2007

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 is… Expand

Violation of the Nernst heat theorem in the theory of the thermal Casimir force between Drude metals

- V. Bezerra, G. L. Klimchitskaya, V. Mostepanenko, C. Romero
- Physics
- 22 January 2004

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 result… Expand

General relativity and Weyl geometry

- C. Romero, J. B. Fonseca-Neto, M. L. Pucheu
- Physics
- 6 January 2012

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 to… Expand

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 to… Expand

Embeddings in space-times sourced by scalar fields

- E. Anderson, F. Dahia, J. Lidsey, C. Romero
- Mathematics, Physics
- 27 November 2001

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-interacting… Expand

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 examples… Expand

From Brans-Dicke gravity to a geometrical scalar-tensor theory

- T. S. Almeida, M. L. Pucheu, C. Romero, J. B. Formiga
- Physics
- 21 November 2013

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 scalar… Expand

AdS and stabilized extra dimensions in multi-dimensional gravitational models with nonlinear scalar curvature terms R -1 and R 4

- U. Günther, A. Zhuk, V. Bezerra, C. Romero
- Physics
- 10 September 2004

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 a… Expand

...

1

2

3

4

5

...