Universes encircling five-dimensional black holes

@article{Seahra2003UniversesEF,
  title={Universes encircling five-dimensional black holes},
  author={Sanjeev S Seahra and Paul S. Wesson},
  journal={Journal of Mathematical Physics},
  year={2003},
  volume={44},
  pages={5664-5680}
}
We clarify the status of two known solutions to the five-dimensional vacuum Einstein field equations derived by Liu, Mashhoon, and Wesson (LMW) and Fukui, Seahra, and Wesson (FSW), respectively. Both 5-metrics explicitly embed four-dimensional Friedman–Lemaitre–Robertson–Walker cosmologies with a wide range of characteristics. We show that both metrics are also equivalent to five-dimensional topological black hole (TBH) solutions, which is demonstrated by finding explicit coordinate… 
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References

SHOWING 1-10 OF 19 REFERENCES

Application of the Campbell-Magaard theorem to higher dimensional physics

Stated succinctly, the original version of the Campbell–Magaard theorem says that it is always possible to locally embed any solution of four-dimensional general relativity in a five-dimensional

Cosmological implications of a nonseparable 5D solution of the vacuum Einstein field equations

An exact class of solutions of the 5D vacuum Einstein field equations (EFEs) is obtained. The metric coefficients are found to be nonseparable functions of time and the extra coordinate l and the

Global structure of exact cosmological solutions in the brane world

Department of Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan(February 1, 2008)We find the explicit coordinate transformation which links two exact cosmological solutions ofthe brane world

EQUIVALENCE BETWEEN SPACE TIME MATTER AND BRANE-WORLD THEORIES

We study the relationship between space–time–matter (STM) and brane theories. These two theories look very different at first sight, and have different motivation for the introduction of a large

Regular coordinate systems for Schwarzschild and other spherical spacetimes

The continuation of the Schwarzschild metric across the event horizon is a well-understood problem discussed in most textbooks on general relativity. Among the most popular coordinate systems that

Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity

We recently proposed a solution to the hierarchy problem not relying on low-energy supersymmetry or technicolor. Instead, the problem is nullified by bringing quantum gravity down to the TeV scale.

An Alternative to compactification

Conventional wisdom states that Newton's force law implies only four noncompact dimensions. We demonstrate that this is not necessarily true in the presence of a nonfactorizable background geometry.

A Large mass hierarchy from a small extra dimension

We propose a new higher-dimensional mechanism for solving the hierarchy problem. The weak scale is generated from the Planck scale through an exponential hierarchy. However, this exponential arises