Scalar and vector perturbations in a universe with discrete and continuous matter sources
- North Carolina Central University, CREST and NASA Research Centers, Fayetteville st. 1801, Durham, North Carolina 27707 (United States)
- Institute for Theoretical Physics, University of Cologne, Zülpicher Strasse 77, 50937 Köln (Germany)
- Astronomical Observatory, Odessa National University, Dvoryanskaya st. 2, Odessa 65082 (Ukraine)
We study a universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies and their groups and clusters) and two sets of perfect fluids with linear and nonlinear equations of state, respectively. The background spacetime geometry is defined by the FLRW metric. In the weak gravitational field limit, we develop the first-order scalar and vector cosmological perturbation theory. Our approach works at all cosmological scales (i.e. sub-horizon and super-horizon ones) and incorporates linear and nonlinear effects with respect to energy density fluctuations. We demonstrate that the scalar perturbation (i.e. the gravitational potential) as well as the vector perturbation can be split into individual contributions from each matter source. Each of these contributions satisfies its own equation. The velocity-independent parts of the individual gravitational potentials are characterized by a finite time-dependent Yukawa interaction range being the same for each individual contribution. We also obtain the exact form of the gravitational potential and vector perturbation related to the discrete matter sources. The self-consistency of our approach is thoroughly checked. The derived equations can form the theoretical basis for numerical simulations for a wide class of cosmological models.
- OSTI ID:
- 22679458
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 09; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COSMOLOGY AND ASTRONOMY
COMPUTERIZED SIMULATION
COSMIC DUST
COSMOLOGICAL MODELS
DISTURBANCES
ENERGY DENSITY
EQUATIONS OF STATE
FLUCTUATIONS
GALAXIES
GRAVITATIONAL FIELDS
IDEAL FLOW
INTERACTION RANGE
INTERACTIONS
METRICS
NONLINEAR PROBLEMS
PERTURBATION THEORY
SPACE-TIME
TIME DEPENDENCE
UNIVERSE
VELOCITY