# Conformal Relativity versus Brans-Dicke and Superstring Theories

@article{Blaschke2004ConformalRV, title={Conformal Relativity versus Brans-Dicke and Superstring Theories}, author={David B. Blaschke and Mariusz P. Da̧browski}, journal={Entropy}, year={2004}, volume={14}, pages={1978-1996} }

We show how conformal relativity is related to Brans–Dicke theory and to low-energy-effective superstring theory. Conformal relativity or the Hoyle–Narlikar theory is invariant with respect to conformal transformations of the metric. We show that the conformal relativity action is equivalent to the transformed Brans–Dicke action for ω = -3/2 (which is the border between standard scalar field and ghost) in contrast to the reduced (graviton-dilaton) low-energy-effective superstring action which…

## 11 Citations

### Late time cosmic acceleration from vacuum Brans–Dicke theory in 5D

- Physics
- 2010

We show that the scalar-vacuum Brans–Dicke equations in 5D are equivalent to Brans–Dicke theory in 4D with a self-interacting potential and an effective matter field. The cosmological implication, in…

### Late time cosmic acceleration from vacuum Brans-Dicke theory in 5D

- Physics
- 2010

We show that the scalar-vacuum Brans–Dicke equations in 5D are equivalent to Brans–Dicke theory in 4D with a self-interacting potential and an effective matter field. The cosmological implication, in…

### An anisotropic cosmological model in a modified Brans–Dicke theory

- Physics
- 2011

Recently, it has been shown that a four-dimensional (4D) Brans–Dicke (BD) theory with an effective matter field and a self-interacting potential can be achieved from the vacuum 5D BD field equations,…

### Extended anisotropic models in noncompact Kaluza–Klein theory

- MathematicsClassical and Quantum Gravity
- 2019

In this paper, new exact solutions for locally rotational symmetric (LRS) space-times are obtained within the modified Brans–Dicke theory (MBDT) (Rasouli et al 2014 Class. Quantum Grav. 31 115002).…

### String-Inspired Gravity through Symmetries

- Physics
- 2016

We study a string-inspired cosmological model from the symmetries point of view. We start by deducing the form that each physical quantity must take so that the field equations, in the string frame,…

### Modified Brans–Dicke theory in arbitrary dimensions

- Physics
- 2014

Within an algebraic framework, used to construct the induced-matter-theory (IMT) setting, in (D + 1)-dimensional Brans–Dicke (BD) scenario, we obtain a modified BD theory (MBDT) in D dimensions.…

### A Machian wave effect in conformal, scalar–tensor gravitational theory

- PhysicsGeneral Relativity and Gravitation
- 2019

A frequency-dependent Machian effect previously put forward by Woodward (that for a body undergoing mass–energy fluctuations, the second time derivative of the mass–energy density is a source of a…

### Baryo-Leptogenesis induced by modified gravities in the primordial Universe

- Physics
- 2015

The long-standing problem of the asymmetry between matter and antimatter in the Universe is, in this paper, analysed in the context of the modified theories of gravity. In particular we study two…

### Cyclic multiverses

- Physics
- 2015

Using the idea of regularisation of singularities due to the variability of the fundamental constants in cosmology we study the cyclic universe models. We find two models of oscillating and…

### Testing gravity in the local universe

- Geology
- 2018

General relativity (GR) has stood as the most accurate description of gravity for the last 100 years, weathering a barrage of rigorous tests. However, attempts to derive GR from a more fundamental…

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