# Static wormhole solution for higher-dimensional gravity in vacuum

@article{Dotti2006StaticWS, title={Static wormhole solution for higher-dimensional gravity in vacuum}, author={Gustavo Dotti and Julio Oliva and Ricardo Troncoso}, journal={Physical Review D}, year={2006}, volume={75}, pages={024002} }

A static wormhole solution for gravity in vacuum is found for odd dimensions greater than four. In five dimensions the gravitational theory considered is described by the Einstein-Gauss-Bonnet action where the coupling of the quadratic term is fixed in terms of the cosmological constant. In higher dimensions $d=2n+1$, the theory corresponds to a particular case of the Lovelock action containing higher powers of the curvature, so that in general, it can be written as a Chern-Simons form for the…

## 97 Citations

### Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum

- Mathematics
- 2011

Static asymptotically Lifshitz wormholes and black holes in vacuum are shown to exist for a class of Lovelock theories in d = 2n + 1 > 7 dimensions, selected by requiring that all but one of their n…

### Charged wormhole solutions in Einstein-Cartan gravity

- PhysicsPhysical Review D
- 2019

Static solutions representing wormhole configurations in Einstein-Cartan theory ({{\sf ECT}}) in the presence of electric charge are obtained. The solutions are described by a constant redshift…

### Gravitational solitons and C0 vacuum metrics in five-dimensional Lovelock gravity

- Physics
- 2008

Junction conditions for vacuum solutions in five-dimensional Einstein–Gauss–Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in…

### Higher curvature wormholes

- Computer Science
- 2019

This work constructs a traversable wormhole solution connecting two asymptotically flat regions, otherwise disconnected, and shows that, in contrast to other wormhole solutions previously found in this theory, the one constructed here turns out to be stable under scalar perturbations.

### Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes, and spacetime horns

- Mathematics
- 2007

An exhaustive classification of a certain class of static solutions for the five-dimensional Einstein-Gauss-Bonnet theory in vacuum is presented. The class of metrics under consideration is such that…

### Static wormholes on the brane inspired by Kaluza-Klein gravity

- Physics
- 2009

We use static solutions of 5-dimensional Kaluza-Klein gravity to generate several classes of static, spherically symmetric spacetimes which are analytic solutions to the equation (4)R = 0, where (4)R…

### Static wormholes on the brane inspired by Kaluza-Klein gravity

- Physics
- 2009

We use static solutions of 5-dimensional Kaluza-Klein gravity to generate several classes of static, spherically symmetric spacetimes which are analytic solutions to the equation (4)R = 0, where (4)R…

### Nonlinear electrodynamics, regular black holes and wormholes

- Physics
- 2017

We consider spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f =…

### Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum

- Mathematics
- 2010

The classification of a certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is performed in d{>=}5 dimensions. The class of metrics under consideration is such that the…

### Vacuum thin shell solutions in five-dimensional Lovelock gravity

- Physics
- 2010

Junction conditions for vacuum solutions in five-dimensional Einstein-Gauss-Bonnet gravity are studied. We focus on those cases where two spherically symmetric regions of space-time are joined in…

## References

SHOWING 1-10 OF 36 REFERENCES

### Lorentzian wormholes in Einstein-Gauss-Bonnet theory.

- PhysicsPhysical review. D, Particles and fields
- 1992

Lorentzian wormhole solutions are investigated in the context of the $D$-dimensional Einstein-Gauss-Bonnet theory of gravitation and the violation of the weak energy condition persists for $\ensuremath{\alpha}g0$.

### Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories

- Physics
- 2006

We look for the existence of asymptotically flat simple compactifications of the form D−p × Tp in D-dimensional gravity theories with higher powers of the curvature. Assuming the manifold D−p to be…

### New gauge supergravity in seven and eleven dimensions

- Mathematics, Materials Science
- 1998

Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti\char21{}de Sitter gravity are discussed. The construction is…

### Euclidean Quantum Gravity

- Physics
- 1997

This chapter studies the linearized gravitational field in the presence of boundaries. For this purpose, zeta-function regularization is used to perform the mode-by-mode evaluation of Faddeev-Popov…

### Black holes with topologically nontrivial AdS asymptotics

- Mathematics
- 2001

Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled…

### Black hole scan

- PhysicsPhysical Review D
- 2000

Gravitation theories selected by requiring that they have a unique anti-de Sitter vacuum with a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under consideration…

### The Particle Problem in the General Theory of Relativity

- Physics
- 1935

The writers investigate the possibility of an atomistic theory of matter and electricity which, while excluding singularities of the field, makes use of no other variables than the g&„of the general…

### 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…