# Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes

@inproceedings{Lobo2007ExoticSI, title={Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes}, author={Francisco S. N. Lobo}, year={2007} }

The General Theory of Relativity has been an extremely successful theory, with a well established experimental footing, at least for weak gravitational fields. Its predictions range from the existence of black holes, gravitational radiation to the cosmological models, predicting a primordial beginning, namely the big-bang. All these solutions have been obtained by first considering a plausible distribution of matter, and through the Einstein field equation, the spacetime metric of the geometry…

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## References

SHOWING 1-10 OF 247 REFERENCES

### On a class of stable, traversable Lorentzian wormholes in classical general relativity

- Physics
- 2002

It is known that Lorentzian wormholes must be threaded by matter that violates the null energy condition. We phenomenologically characterize such exotic matter by a general class of microscopic…

### Morris-Thorne wormholes with a cosmological constant

- Physics
- 2003

First, the ideas introduced in the wormhole research field since the work of Morris and Thorne are reviewed, namely, the issues of energy conditions, wormhole construction, stability, time machines…

### Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity

- Physics
- 1988

Rapid interstellar travel by means of spacetime wormholes is described in a way that is useful for teaching elementary general relativity. The description touches base with Carl Sagan’s novel…

### Energy conditions, traversable wormholes and dust shells

- Physics
- 2005

Firstly, we review the pointwise and averaged energy conditions, the quantum inequality and the notion of the “volume integral quantifier,” which provides a measure of the “total amount” of energy…

### Conformally symmetric traversable wormholes

- Physics
- 2007

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a nonstatic conformal symmetry, which presents a more systematic approach in…

### Quantum field theory constrains traversable wormhole geometries.

- PhysicsPhysical review. D, Particles and fields
- 1996

This work applies an uncertainty-principle-type bound on negative energy densities in four-dimensional Minkowski spacetime to the stress-energy of static traversable wormhole spacetimes and implies that either the wormhole must be only a little larger than Planck size or that there is a large discrepancy in the length scales which characterize the wormholes.

### Cauchy problem in spacetimes with closed timelike curves.

- PhysicsPhysical review. D, Particles and fields
- 1990

The conclusion of this paper is that CTC’s may not be as nasty as people have assumed, and is reinforced by the fact that they do not affect Gauss’'s theorem and thus do not affected the derivation of global conservation laws from differential ones.

### Scalar fields, energy conditions and traversable wormholes

- Physics
- 2000

We describe the different possibilities that a simple and apparently quite harmless classical scalar field theory provides to violate the energy conditions. We demonstrate that a non-minimally…

### Rotating cylinders and the possibility of global causality violation

- Philosophy
- 1974

Since the work of Hawking and Penrose, ' it has become accepted that classical general relativity predicts some sort of pathological behavior. However, the exact nature of the pathology is under…

### Do vacuum fluctuations prevent the creation of closed timelike curves?

- PhysicsPhysical review. D, Particles and fields
- 1991

This paper investigates stability against vacuum fluctuations of a quantized field, by calculating the field’s renormalized stress-energy tensor near the Cauchy horizon and conjecture that the vacuum-polarization divergence gets cut off by quantum gravity upon reaching the tiny size lP/D, and spacetime remains macroscopically smooth and classical and develops closed timelike curves without difficulty.