https://doi.org/10.1140/epjc/s10052-023-12204-4
Regular Article - Theoretical Physics
Cosmological singularities in 
gravity
1
School of Arts and Sciences, Ahmedabad University, 380009, Ahmedabad, India
2
Institute of Physics, Southern Federal University, Stachki 194, 344090, Rostov on Don, Russia
3
Virtual Institute of Astroparticle physics, 75018, Paris, France
4
National Research Nuclear University “MEPHI”, 115409, Moscow, Russia
5
Institute of Space Sciences and Astronomy, University of Malta, Msida, Malta
6
Department of Physics, University of Malta, Msida, Malta
7
Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970, Porto Alegre, RS, Brazil
8
Divisão de Astrofísica, Instituto Nacional de Pesquisas Espaciais, Avenida dos Astronautas 1758, 12227-010, São José dos Campos, SP, Brazil
Received:
23
September
2023
Accepted:
30
October
2023
Published online:
9
November
2023
The pursuit of understanding the mysteries surrounding dark energy has sparked significant interest within the field of cosmology. While conventional approaches, such as the cosmological constant, have been extensively explored, alternative theories incorporating scalar field-based models and modified gravity have emerged as intriguing avenues. Among these, teleparallel theories of gravity, specifically the 
formulation, have gained prominence as a means to comprehend dark energy within the framework of teleparallelism. In this study, we investigate two well-studied models of teleparallel dark energy and examine the presence of cosmological singularities within these scenarios. Using the Goriely–Hyde procedure, we examine the dynamical systems governing the cosmological equations of these models. Our analysis reveals that both models exhibit Type IV singularities, but only for a limited range of initial conditions. These results could indicate a potential edge for teleparallel cosmological models over their other modified gravity counterparts, as the models we examine seem to be only allowing for weak singularities that too under non general conditions.
© The Author(s) 2023
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