2023
DOI: 10.1140/epjc/s10052-023-11393-2
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A class of static spherically symmetric solutions in f(Q)-gravity

Abstract: We analyze a class of topological static spherically symmetric vacuum solutions in f(Q)-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is constant. In the specific, we provide and discuss local solutions in the form of black holes and traversable wormholes.

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Cited by 27 publications
(4 citation statements)
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“…Static spherically symmetric within teleparallel f (T) gravity and non-metricity (symmetric teleparallel) f (Q) gravity have been obtained in recent years, see e.g. [1567][1568][1569][1570][1571][1572][1573][1574][1575][1576]: we defer a dedicated study of torsion and non-metricity constraints from BH shadows to a follow-up work. Other solutions it would be interesting to study include those of [1577][1578][1579][1580].…”
Section: Acknowledgmentsmentioning
confidence: 99%
“…Static spherically symmetric within teleparallel f (T) gravity and non-metricity (symmetric teleparallel) f (Q) gravity have been obtained in recent years, see e.g. [1567][1568][1569][1570][1571][1572][1573][1574][1575][1576]: we defer a dedicated study of torsion and non-metricity constraints from BH shadows to a follow-up work. Other solutions it would be interesting to study include those of [1577][1578][1579][1580].…”
Section: Acknowledgmentsmentioning
confidence: 99%
“…dr , and going forward, we will use the following abbreviation S, S 1 , S ′ , and S ′ 1 . Ultimately, based on the best agreement with cosmological evidence, [49,60] the power-law of f (Q) theory is the one we analyze in the following…”
Section: Solution Of Anti-de-sitter Black Holementioning
confidence: 99%
“…[4,5,15,16,[20][21][22][23][24][25][26][27] These theories have been extensively studied in the context of modified gravity. By introducing new degrees of freedom (DOF) through torsion or non-metricity, a range of fascinating phenomena has been revealed, especially in cosmological models, [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] studies have explored solutions related to black holes, [10,[46][47][48][49] as well as gravitational waves. [50][51][52][53] In ref.…”
Section: Introductionmentioning
confidence: 99%
“…There have been various studies regarding wormholes in f (Q) gravity [7,8]. Calza and Sebastiani [9] scrutinized various aspects of static and spherically symmetric solutions in f (Q) gravity.…”
Section: Introductionmentioning
confidence: 99%