Correction to: Inflation with F(T) teleparallel gravity

Chakrabortty, Manas; Sk, Nayem; Sanyal, Susmita; Sanyal, Abhik Kumar

doi:10.1140/epjp/s13360-021-02292-0

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“…In the context of teleparallelism, the gravitational Action Integral has been modified in a similar way as above, with the introduction of nonlinear components leading to the family of teleparallel f (T )-theory of gravity [18]. Indeed, the new geometrodynamical terms introduced in the field equations by the nonlinear f (T )-theory, can explain the expanding history of our universe [19][20][21][22][23][24]. For a general review on various modified theories of gravity see [25].…”

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confidence: 99%

Anisotropic solutions in symmetric teleparallel $$f\left( Q\right) $$-theory: Kantowski–Sachs and Bianchi III LRS cosmologies

Dimakis,

Roumeliotis,

Paliathanasis

et al. 2023

Eur. Phys. J. C

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We investigate the existence of anisotropic self-similar exact solutions in symmetric teleparallel $$f\left( Q\right) $$ f Q -theory. For the background geometry we consider the Kantowski–Sachs and the Locally Rotationally Symmetric Bianchi type III geometries. These two anisotropic spacetimes are of special interest because in the limit of isotropy they are related to the closed and open Friedmann–Lemaître–Robertson–Walker cosmologies respectively. For each spacetime there exist two distinct families of flat, symmetric connections, which share the symmetries of the spacetime. We present the field equations, and from them, we determine the functional form of the $$f\left( Q\right) $$ f Q Lagrangian which yields self-similar solutions. We initially consider the vacuum case and subsequently we introduce a matter source in terms of a perfect fluid. Last but not least, we report some self-similar solutions corresponding to static spherically symmetric spacetimes.

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