Phase space analysis of CCDM cosmologies

• DOI: 10.48550/arxiv.2502.03256
• Publication Date: 2025-01-01
• Authors: Halder, Sudip; de Haro, Jaume; Pan, Supriya; Saha, Tapan; Chakraborty, Subenoy
• Keywords: FOS: Physical sciences; General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); General Relativity and Quantum Cosmology; Mathematical Physics

We perform a detailed investigation of the CCDM (creation of cold dark matter) cosmologies using the powerful techniques of qualitative analysis of dynamical systems. Considering a wide variety of the creation rates ranging from constant to dynamical, we examine the nature of critical points and their stability obtained from the individual scenario consisting of only cold dark matter, or cold dark matter plus a second fluid with constant equation of state. According to our analyses, these scenarios predict unstable dark matter dominated critical points, stable accelerating attractors dominated either by dark matter or the second fluid, scaling attractors in which both dark matter and the second fluid co-exist. Along with these critical points, these scenarios also indicate the possibility of decelerating attractors or decelerating scaling attractors in the future which are new results in this direction. These altogether suggest that CCDM cosmologies are viable alternatives to the mainstream cosmological models.<br/>32 pages including references; 8 tables, 12 figures; comments are welcome<br/>