2003/06/19 by Yun Soo Myung, Y. S. Myung · 10 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Dark energy #De Sitter universe #Entropy (arrow of time) #Lambda-CDM model #Mathematical physics #Metric expansion of space #Noncommutative and Quantum Gravity Theories #Perfect Cosmological Principle #Physics #Quantum mechanics #Theoretical physics #Universe #hep-th
paper · pdf · doi:10.1016/j.physletb.2003.10.051
published in Physics Letters B 578(1-2), 7-15 (Elsevier BV) · 15 pages
arxiv created 2003/06/19 · openalex publication_date 2003/11/11 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the role of the cosmological constant in the holographic description of a radiation-dominated universe C 2 / R 4 with a positive cosmological constant Λ . In order to understand the nature of cosmological term, we first study the Newtonian cosmology. Here we find two aspects of the cosmological term: entropy ( Λ → S Λ ) and energy ( Λ → E Λ ). Also we solve the Friedmann equation parametrically to obtain another role. In the presence of the cosmological constant, the solutions are described by the Weierstrass elliptic functions on torus and have modular properties. In this case one may expect to have a two-dimensional Cardy entropy formula but the cosmological constant plays a role of the modular parameter τ ( C 2 , Λ ) of torus. Consequently, the entropy concept of the cosmological constant is very suitable for establishing the holographic entropy bounds in the early universe. This contrasts to the role of the cosmological constant as a dark energy in the present universe.