2007/07/23 by R. F. L. Holanda, Holanda, R. F. L., S. H. Pereira +1
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements
paper · pdf · doi:10.48550/arxiv.0707.3387
openalex publication_date 2007/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present the equations of the evolution of the universe in D spatial dimensions, as a generalization of the work of Lima \citeplima. We discuss the Friedmann-Robertson-Walker cosmological equations in D spatial dimensions for a simple fluid with equation of state p=ωDρ. It is possible to reduce the multidimensional equations to the equation of a point particle system subject to a linear force. This force can be expressed as an oscillator equation, anti-oscillator or a free particle equation, depending on the k parameter of the spatial curvature. An interesting result is the independence on the dimension D in a de Sitter evolution. We also stress the generality of this procedure with a cosmological Λ term. A more interesting result is that the reduction of the dimensionality leads naturally to an accelerated expansion of the scale factor in the plane case.