Vacuum polarization by a cosmic string in de Sitter spacetime
arXiv:0902.1406 · doi:10.1088/1126-6708/2009/04/046
Abstract
In this paper we investigate the vacuum polarization effect associated with a quantum massive scalar field in a higher dimensional de Sitter spacetime in the presence of a cosmic string. Because this investigation has been developed in a pure de Sitter space, here we are mainly interested on the effects induced by the presence of the string. So this analysis is developed by expressing the complete Wightman function as the sum of two terms: The first one corresponds to the bulk where the cosmic string is absent and the second one is induced by the presence of the string. By using the Abel-Plana summation formula, we show that for points away from the string the latter is finite at the coincidence limit and it is used to evaluate the vacuum averages of the square of the field and the energy-momentum tensor induced by the cosmic string. Simple asymptotic formulae are obtained for these expectation values for points near the string and at large distances from it. It is shown that, depending on the curvature radius of de Sitter spacetime, two regimes are realized with monotonic and oscillatory behavior of the vacuum expectation values at large distances.
18 pages, 2 figures, discussion on string metric in static coordinates is added
References in corpus (28)
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
- Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
- Cosmic F- and D-strings
- One-loop f(R) gravity in de Sitter universe
- Gravitational wave bursts from cosmic strings
- Solving the Hierarchy Problem with Noncompact Extra Dimensions
- Nonsingular global string compactifications
- One Loop Vaccum Polarization in a Locally de Sitter Background
- Massless Minimally Coupled Fields in De Sitter Space: O(4)-Symmetric States Versus De Sitter Invariant Vacuum
- The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
- Gamma ray bursts from superconducting cosmic strings
- Dynamics of super-horizon photons during inflation with vacuum polarization
- Quantum effects near a point mass in 2+1 dimensional gravity
- Vacuum Expectation Value of the Spinor Massive field in the Cosmic String Space-Time
- Scalar field instability in de Sitter space-time
- Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time
- Casimir effect in de Sitter spacetime with compactified dimension
- Spinor Green function in higher-dimensional cosmic string space-time in the presence of magnetic flux
- Vortices in De Sitter Spacetimes
- Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions
- Strings in de Sitter space
- Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
- One-loop effective potential for SO(10) GUT theories in de Sitter space
- Vacuum polarization by a composite topological defect
- Cosmic strings in a space-time with positive cosmological constant
Cited by in corpus (24)
- A complete cosmological scenario from gravity theory
- Fermionic current densities induced by magnetic flux in a conical space with a circular boundary
- Casimir effect for parallel plates in de Sitter spacetime
- Scalar and fermionic vacuum currents in de Sitter spacetime with compact dimensions
- Vacuum polarization in high-dimensional AdS spacetime in the presence of a cosmic string and compactified extra dimension
- Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
- Coupled fermion-kink system in Jackiw-Rebbi model
- Casimir-Polder interaction between an atom and a conducting wall in cosmic string spacetime
- Vacuum decay in the presence of a cosmic string
- Fermionic vacuum polarization by a cosmic string in de Sitter spacetime
- Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime
- Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
- Induced Fermionic vacuum polarization in dS spacetime with a compactified cosmic string
- Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime
- Scalar Casimir densities and forces for parallel plates in cosmic string spacetime
- Vacuum polarization by a scalar field in de Sitter spacetime in the presence of global monopole
- Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
- Quantum Particle Creation by Cosmic Strings in de Sitter Spacetime
- Wightman functions in de Sitter and anti-de Sitter spacetimes in the presence of cosmic string
- Vacuum effects induced by a plate in de Sitter spacetime in the presence of a cosmic string
- Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime
- Electromagnetic vacuum densities induced by a cosmic string
- Spacetime defects and group momentum space
- Three-dimensional gravity and deformations of relativistic symmetries