COSMIC TILT UNVEILED: BIANCHI TYPE I MODELS WITH PERFECT FLUID EXPLORED IN GENERAL RELATIVITY

Abstract

The investigation of spatially homogeneous and anisotropic universes, specifically those manifesting tilt, has become a focal point in recent cosmological studies. Tilted universes, characterized by non-orthogonal matter movement concerning the hyper surface of homogeneity, provide a nuanced perspective on cosmic dynamics. Early works by King and Ellis (1973), Ellis and King (1974), and Collins and Ellis (1979) laid the foundation for understanding the general dynamics of tilted universes. This exploration extended to Tilted Bianchi Type I models, with Dunn and Tupper (1978) and Lorenz (1981) contributing valuable insights, while Mukherjee (1983) introduced heat flux, revealing intriguing pancake-shaped configurations. Bradley (1988) further enriched the discourse by deriving tilted spherically symmetric self-similar dust models, adding complexity to the equations governing tilted cosmological scenarios. The mathematical formalism governing tilted cosmological models, as expounded by Ellis and Baldwin (1984), is notably intricate compared to non-tilted counterparts, suggesting potential tilt in our universe and proposing detection methods. Advancements in understanding tilted cosmological scenarios include Cen et al.'s (1992) exploration of tilted cold dark matter models, providing insights into the implications of tilt in cosmological dynamics. Bali and Sharma (2002) contributed by examining the characteristics of tilted Bianchi Type I dust fluid, unveiling peculiar cigar-type singularities under specific conditions. This abstract encapsulates the evolving landscape of tilted universes, emphasizing the significance of tilt in shaping cosmic evolution and structure. Through a historical overview and examination of key findings, it underscores the importance of understanding tilted cosmological models in elucidating fundamental aspects of the universe's evolution and structure