# General class of braneworld wormholes

## Abstract

The brane cosmology scenario is based on the idea that the Universe is a 3-brane embedded in a five-dimensional bulk. In this work, a general class of braneworld wormholes is explored with R{ne}0, where R is the four dimensional Ricci scalar, and specific solutions are further analyzed. A fundamental ingredient of traversable wormholes is the violation of the null energy condition (NEC). However, it is the effective total stress-energy tensor that violates the latter, and in this work, the stress-energy tensor confined on the brane, threading the wormhole, is imposed to satisfy the NEC. It is also shown that in addition to the local high-energy bulk effects, nonlocal corrections from the Weyl curvature in the bulk may induce a NEC violating signature on the brane. Thus, braneworld gravity seems to provide a natural scenario for the existence of traversable wormholes.

- Authors:

- Institute of Gravitation and Cosmology, University of Portsmouth, Portsmouth PO1 2EG (United Kingdom) and Centro de Astronomia e Astrofisica da Universidade de Lisboa, Campo Grande, Ed. C8 1749-016 Lisbon (Portugal)

- Publication Date:

- OSTI Identifier:
- 21020173

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.064027; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; CORRECTIONS; COSMOLOGY; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATION; M-THEORY; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SCALARS; STRESSES; TENSORS; UNIVERSE

### Citation Formats

```
Lobo, Francisco S. N.
```*General class of braneworld wormholes*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.064027.

```
Lobo, Francisco S. N.
```*General class of braneworld wormholes*. United States. doi:10.1103/PHYSREVD.75.064027.

```
Lobo, Francisco S. N. Thu .
"General class of braneworld wormholes". United States.
doi:10.1103/PHYSREVD.75.064027.
```

```
@article{osti_21020173,
```

title = {General class of braneworld wormholes},

author = {Lobo, Francisco S. N.},

abstractNote = {The brane cosmology scenario is based on the idea that the Universe is a 3-brane embedded in a five-dimensional bulk. In this work, a general class of braneworld wormholes is explored with R{ne}0, where R is the four dimensional Ricci scalar, and specific solutions are further analyzed. A fundamental ingredient of traversable wormholes is the violation of the null energy condition (NEC). However, it is the effective total stress-energy tensor that violates the latter, and in this work, the stress-energy tensor confined on the brane, threading the wormhole, is imposed to satisfy the NEC. It is also shown that in addition to the local high-energy bulk effects, nonlocal corrections from the Weyl curvature in the bulk may induce a NEC violating signature on the brane. Thus, braneworld gravity seems to provide a natural scenario for the existence of traversable wormholes.},

doi = {10.1103/PHYSREVD.75.064027},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}