# Isomorphism between non-Riemannian gravity and Einstein-Proca-Weyl theories extended to a class of scalar gravity theories

@article{Scipioni1999IsomorphismBN, title={Isomorphism between non-Riemannian gravity and Einstein-Proca-Weyl theories extended to a class of scalar gravity theories}, author={Roberto Scipioni}, journal={Classical and Quantum Gravity}, year={1999}, volume={16}, pages={2471-2478} }

We extend the recently proved relation between certain models of non-Riemannian gravitation and Einstein-Proca-Weyl theories to a class of scalar gravity theories, this is used to present a black-hole dilaton solution with non-Riemannian connection.

## 21 Citations

### Two-dimensional metric-affine gravity

- Physics
- 2004

There are a number of completely integrable gravity theories in two dimensions. We study the metric-affine approach in a two-dimensional spacetime and display a new integrable model. Its properties…

### Metric-Affine Gauge Theory of Gravity II:. Exact Solutions

- Physics
- 1999

In continuing our series on metric–affine gravity (see Gronwald, Int. J. Mod. Phys.D6, 263 (1997) for Part I), we review the exact solutions of this theory.

### On the extension of the Obukhov theorem in non-Riemannian gravity. I

- Mathematics
- 2000

This is the first paper of a series in which we give some generalizations of the Dereli–Obukhov–Tucker–Wang theorem in the Tucker–Wang approach to metric-affine gravity in which we consider more…

### Gravitational waves in metric-affine gravity theory

- Mathematics, Physics
- 2021

We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed…

### Plane waves in metric-affine gravity

- Mathematics
- 2006

We describe plane-fronted waves in the Yang-Mills type quadratic metric-affine theory of gravity. The torsion and the nonmetricity are both nontrivial, and they do not belong to the triplet ansatz.

### Ja n 20 06 Plane waves in metric-affine gravity

- Mathematics
- 2006

We describe plane-fronted waves in the Yang-Mills type quadratic metricaffine theory of gravity. The torsion and the nonmetricity are both nontrivial, and they do not belong to the triplet ansatz.…

### N ov 2 00 3 ESI-1413 Two-dimensional metric-affine gravity

- Physics
- 2003

There is a number of completely integrable gravity theories in two dimensions. We study the metric-affine approach on a 2-dimensional spacetime and display a new integrable model. Its properties are…

### A Review About Invariance Induced Gravity: Gravity and Spin from Local Conformal-Affine Symmetry

- Physics
- 2010

In this review paper, we discuss how gravity and spin can be obtained as the realization of the local Conformal-Affine group of symmetry transformations. In particular, we show how gravitation is a…

### Nonlinear realization of the local conform-affine symmetry group for gravity in the composite fiber bundle formalism

- Physics
- 2007

A gauge theory of gravity based on a nonlinear realization (NLR) of the local Conform-Affine (CA) group of symmetry transformations is presented. The coframe fields and gauge connections of the…

### Proca Equations of a Massive Vector Boson Field

- Physics
- 2006

Proca equation is a relativistic wave equation for a massive spin-1 particle. The weak interaction is transmitted by such kind of vector bosons. Also vector fields are used to describe spin-1 mesons…

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