# An embedding for general relativity and its implications for new physics

@article{Mashhoon2007AnEF, title={An embedding for general relativity and its implications for new physics}, author={Bahram Mashhoon and Paul S. Wesson}, journal={General Relativity and Gravitation}, year={2007}, volume={39}, pages={1403-1412} }

We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological “constant” Λ that is a specific function of the extra coordinate. For unified theories of the forces in higher dimensions, this has major physical implications.

## 16 Citations

### Scaling Relations for the Cosmological ''Constant'' in Five-Dimensional Relativity

- Physics
- 2013

When the cosmological “constant” is derived from modern five-dimensional relativity, exact solutions imply that for small systems it scales in proportion to the square of the mass. However, a duality…

### COSMOLOGY WITH DECAYING DARK ENERGY AND COSMOLOGICAL "CONSTANT"

- Physics
- 2008

We outline an improved cosmology which uses a higher-dimensional space of the type implied by unification, where the cosmological "constant" decays from an unbounded value at the big bang to an…

### Embeddings for 4D Einstein equations with a cosmological constant

- Physics, Mathematics
- 2008

There are many ways of embedding a 4D spacetime in a given higher-dimensional manifold while satisfying the field equations. In this work, we extend and generalize a recent paper by Mashhoon and…

### Scale-invariant scalar metric fluctuations during inflation: non-perturbative formalism from a 5D vacuum

- Physics
- 2009

We extend to 5D an approach of a 4D non-perturbative formalism to study scalar metric fluctuations of a 5D Riemann-flat de Sitter background metric. In contrast with the results obtained in 4D, the…

### Embeddings for general relativity

- Mathematics, Physics
- 2015

We present a systematic approach to embed n-dimensional vacuum general relativity in an (n+1)-dimensional pseudo-Riemannian spacetime whose source is either a (non)zero cosmological constant or a…

### The geometrical unification of gravity with its source

- Geology, Physics
- 2008

I give a personal retrospect covering the years during which Mashhoon, myself and others developed a unification of the gravitational field and its source (matter). In this geometrical approach,…

### Paul Wesson and Space-Time-Matter Theory

- Physics, Geology
- 2018

A short scientific biography is given of physicist Paul Wesson (1949-2015), who published over 300 works encompassing the fields of astrobiology, astrophysics, geophysics, cosmology, and relativity;…

### Mach's principle and higher‐dimensional dynamics

- Physics
- 2012

We briefly discuss the current status of Mach's principle in general relativity and point out that its last vestige, namely, the gravitomagnetic field associated with rotation, has recently been…

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