Local solutions of general relativity in the presence of the trace anomaly

Calzà, Marco; Casalino, Alessandro; Sebastiani, Lorenzo

doi:10.1016/j.dark.2022.101066

Cited by 5 publications

(4 citation statements)

References 51 publications

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“…Such solutions display a conceptual advantage, in fact, they are not in need of odd matter sources violating the null energy condition and preventing the throat from pinching off. This exotic matter source is needed in the context of GR and can be made of additional new fields or by the anomalous trace of standard fields [104]. For what concerns the wormhole solutions we proposed in this paper, this unpleasant role is played by the gravitational sector which is modified and no additional exotic matter is invoked.…”

Section: Discussionmentioning

confidence: 97%

“…It is worth recalling that in GR, one can realize a traversable wormhole only by invoking the presence of an exotic matter source that violates the null energy condition [93][94][95][96][97][98][99][100][101][102][103][104]. However, in the framework of a modified theory, wormholes may be realized as vacuum solutions, since the unpleasant role of the anti-gravitational matter could be played by the modification of gravity itself [105][106][107][108].…”

Section: Wormhole Solutionsmentioning

confidence: 99%

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A class of static spherically symmetric solutions in f(T)-gravity

Calzá,

Sebastiani

2024

Eur. Phys. J. C

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We study a class of static spherically symmetric vacuum solutions in modified teleparallel gravity solving the field equations for a specific model Ansatz, requiring the torsion scalar T to be constant. We discuss the models falling in this class. After some general considerations, we provide and investigate local solutions in the form of black holes and traversable wormholes as well as configurations that can match the anomalous rotation curves of galaxies.

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Section: Discussionmentioning

confidence: 97%

Section: Wormhole Solutionsmentioning

confidence: 99%

A class of static spherically symmetric solutions in f(T)-gravity

Calzá,

Sebastiani

2024

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…Such solutions display a conceptual advantage, in fact, they are not in need of odd matter sources violating the null energy condition and preventing the throat from pinching off. This exotic matter source is needed in the context of GR and can be made of additional new fields or by the anomalous trace of standard fields [101]. For what concerns the wormhole solutions we proposed in this paper, this unpleasant role is played by the gravitational sector which is modified and no additional exotic matter is invoked.…”

Section: Discussionmentioning

confidence: 97%

“…In this section we will investigate exact wormhole solutions [89] which lead to a constant torsion scalar T = T0 and which belong to the class of models satisfying the Ansatz in (18). It is worth recalling that in GR, one can realize a traversable wormhole only by invoking the presence of an exotic matter source that violates the null energy condition [90][91][92][93][94][95][96][97][98][99][100][101]. However, in the framework of a modified theory, wormholes may be realized as vacuum solutions, since the unpleasant role of the anti-gravitational matter could be played by the modification of gravity itself [102][103][104][105].…”

Section: Wormhole Solutionsmentioning

confidence: 99%