# Self-sustained wormholes in modified dispersion relations

@article{Garattini2012SelfsustainedWI, title={Self-sustained wormholes in modified dispersion relations}, author={Remo Garattini and Francisco S. N. Lobo}, journal={Physical Review D}, year={2012}, volume={85}, pages={024043} }

In this work, we consider the possibility that wormhole geometries are sustained by their own quantum fluctuations, in the context of modified dispersion relations. More specifically, the energy density of the graviton one-loop contribution to a classical energy in a wormhole background is considered as a self-consistent source for wormholes. In this semiclassical context, we consider specific choices for the rainbow’s functions and find solutions for wormhole geometries in the cis-Planckian…

## 37 Citations

Traversable Wormholes in Distorted Gravity

- Computer Science
- 2015

It is shown that for every framework, the self-sustained equation will produce a Wheeler wormhole, namely a wormhole of Planckian size, which means that, from the point of view of traversability, the wormhole will be traversable in principle, but not in practice.

Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity

- Physics
- 2014

The dynamical generation of wormholes within an extension of General Relativity (GR) containing (Planck's scale-suppressed) Ricci-squared terms is considered. The theory is formulated assuming the…

Self Sustained Traversable Wormholes and Topology Change Induced by Gravity’s Rainbow

- Physics
- 2013

We consider the effects of Gravity’s Rainbow on the self-sustained equation which is responsible to find new traversable wormholes configurations which are sustained by their own gravitational…

Gravity’s Rainbow induces topology change

- Physics
- 2014

In this work, we explore the possibility that quantum fluctuations induce a topology change, in the context of Gravity’s Rainbow. A semiclassical approach is adopted, where the graviton one-loop…

Double gravitational layer traversable wormholes in hybrid metric-Palatini gravity

- Computer SciencePhysical Review D
- 2021

In this work, we explore the existence of traversable wormhole solutions supported by double gravitational layer thin-shells and satisfying the Null Energy Condition (NEC) throughout the whole…

Vaidya spacetime in Brans–Dicke gravity’s rainbow

- PhysicsThe European Physical Journal C
- 2018

In this note we study an energy dependent deformation of a time dependent geometry in the background of Brans–Dicke gravity theory. The study is performed using the gravity’s rainbow formalism. We…

Branes in Gravity’s Rainbow

- Physics
- 2016

In this work, we investigate the thermodynamics of black p-branes (BB) in the context of Gravity’s Rainbow. We investigate this using rainbow functions that have been motivated from loop quantum…

Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere

- PhysicsPhysical Review D
- 2018

Wormhole solutions in a generalized hybrid metric-Palatini matter theory, given by a gravitational Lagrangian $f\left(R,\cal{R}\right)$, where $R$ is the metric Ricci scalar, and $\mathcal{R}$ is a…

Distorting general relativity: gravity's rainbow and f(R) theories at work

- Physics
- 2013

We compute the Zero Point Energy in a spherically symmetric background combining the high energy distortion of Gravity's Rainbow with the modification induced by a f(R) theory. Here f(R) is a generic…

## References

SHOWING 1-10 OF 64 REFERENCES

Self-sustained phantom wormholes in semi-classical gravity

- Physics
- 2007

A possible candidate for the late time accelerated expanding universe is phantom energy, which possesses rather bizarre properties, such as the prediction of a Big Rip singularity and the violation…

SELF-CONSISTENT WORMHOLE SOLUTIONS OF SEMICLASSICAL GRAVITY

- Physics
- 1997

We present the first results of a self-consistent solution of the semiclassical Einstein field equations corresponding to a Lorentzian wormhole coupled to a quantum scalar field. The specific…

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…

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…

Wormhole geometries supported by a nonminimal curvature-matter coupling

- Physics
- 2010

Wormhole geometries in curvature-matter coupled modified gravity are explored, by considering an explicit nonminimal coupling between an arbitrary function of the scalar curvature, R, and the…

General class of braneworld wormholes

- Computer Science
- 2007

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.

Modified dispersion relations lead to a finite zero point gravitational energy

- Physics
- 2011

We compute the zero point energy in a spherically symmetric background distorted at high energy as predicted by Gravity's Rainbow. In this context we setup a Sturm-Liouville problem with the…

Linearized stability analysis of thin-shell wormholes with a cosmological constant

- Physics
- 2004

Spherically symmetric thin-shell wormholes in the presence of a cosmological constant are constructed applying the cut-and-paste technique implemented by Visser. Using the Darmois–Israel formalism…

Wormhole geometries in f(R) modified theories of gravity

- Computer Science
- 2009

This work imposes that the matter threading the wormhole satisfies the energy conditions, so that it is the effective stress-energy tensor containing higher order curvature derivatives that is responsible for the null energy condition violation.