A Simple Harmonic Universe
Open accessAbstract
We explore simple but novel bouncing solutions of general relativity that avoid singularities. These solutions require curvature k = +1, and are supported by a negative cosmological term and matter with -1 < w < -1 = 3. In the case of moderate bounces (where the ratio of the maximal scale factor a{sub +} to the minimal scale factor a{sub -} is {Omicron}(1)), the solutions are shown to be classically stable and cycle through an infinite set of bounces. For more extreme cases with large a{sub +} = a{sub -}, the solutions can still oscillate many times before classical instabilities take them out of the regime of validity of our approximations. In this regime, quantum particle production also leads eventually to a departure from the realm of validity of semiclassical general relativity, likely yielding a singular crunch. We briefly discuss possible applications of these models to realistic cosmology.
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Graham et al. [14] construct static and oscillating universes with a specific non-perfect-fluid energy component that are stable against small perturbations.
“For example, Graham et al. [14] construct static and oscillating universes with a specific non-perfect-fluid energy component that are stable against small perturbations.”
From Quantum Instability of the Emergent Universe (2013) · cites this paper as [14]
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Sorted by citations
Easson, D. A., Sawicki, I., & Vikman, A. (2011) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2011/11/021 · Cited by 291 · see citing works
Collapse of simple harmonic universe
Mithani, A. T., & Vilenkin, A. (2012) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2012/01/028 · Cited by 53 · see citing works
Quantum Instability of the Emergent Universe
Aguirre, A., & Kehayias, J. (2013) · Physical Review D · doi:10.1103/physrevd.88.103504 · Cited by 30 · see citing works
- Authors
- SLAC National Accelerator Laboratory (SLAC), M. P., Graham, P., USDOE, Horn, B., Kachru, S., Rajendran, S., & Torroba, G.
- Affiliations
- Stanford University (US)
- Stanford Univ., CA (United States). Stanford Inst. of Theoretical Physics (ITP)
- Johns Hopkins University (US)
- SLAC National Accelerator Laboratory (US)
- Published
- 2011-12-14
- OpenAlex
- W2061652951
- Cited by
- 11
- References
- 0
- Citations by year
- 2016: 1 · 2015: 2 · 2014: 2 · 2013: 4 · 2012: 1
- Type
- report
- Language
- en
- Open access
- gold
- doi.org
- Locations
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- University of North Texas Digital Library (University of North Texas) (submittedVersion)
- Funders
- USDOE
- DOE (AC02-76SF00515)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- bounce cosmology, singularity avoidance, positive spatial curvature, negative cosmological constant, equation of state parameter, classical stability
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