Exploring Tilted Cosmological Scenarios: Bianchi Type I Models With Perfect Fluid in General Relativity

Abstract

The exploration of spatially homogeneous and anisotropic universes, particularly those exhibiting tilt, has garnered significant interest in recent years. Tilted universes, where matter does not move orthogonally to the hypersurface of homogeneity, offer a nuanced understanding of cosmic dynamics. Early seminal works by King and Ellis (1973), Ellis and King (1974), and Collins and Ellis (1979) extensively examined the general dynamics of tilted universes. Dunn and Tupper (1978) and Lorenz (1981) specifically delved into Tilted Bianchi Type I models, while Mukherjee (1983) investigated these universes with heat flux, revealing intriguing pancake-shaped configurations. Bradley (1988) contributed by deriving tilted spherically symmetric self-similar dust models, adding to the complexity of equations governing tilted cosmological scenarios. The mathematical formalism governing tilted cosmological models is notably intricate compared to non-tilted ones, as highlighted by Ellis and Baldwin (1984), who proposed the potential presence of tilt in our universe and suggested detection methods? Further advancements include the exploration of tilted cold dark matter cosmological scenarios by Cen et al. (1992), shedding light on the implications of tilt in cosmological dynamics. Additionally, Bali and Sharma (2002) delved into the characteristics of tilted Bianchi Type I dust fluid, revealing peculiar cigar-type singularities under certain conditions.