cosmology (changes) in nLab

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Contents

Idea

Cosmology is the study of the observable universe on its largest scales.

!nclude cosmology -- contents?cosmology

• gravity

• standard model of cosmology

• FRW model

• redshift, comoving time

• big bang, steady state model of cosmology

• inhomogeneous cosmology

• observable universe

  • hydrogen line

• QCD cosmology

• cosmic reionization

• cosmic structure formation

• cosmological constant, dark energy

  • Witten's Dark Fantasy

• cosmic inflation

  • Starobinsky model of cosmic inflation

  • eternal inflation

    • false vacuum eternal inflation

  • chaotic inflation

  • multiverse

• cosmic microwave background radiation

• dark matter, fuzzy dark matter

• cosmic topology, cosmic electromagnetism

• quantum cosmology, quantum gravity

• Randall-Sundrum model

• intersecting D-brane model cosmology

• brane gas cosmology

• ekpyrotic cosmology

• string theory FAQ – Does string theory tell us anything about cosmology?

References

See also the references at standard model of cosmology.

General

Brief review:

• Jorge L. Cervantes-Cota, George Smoot, Cosmology today – A brief review, AIP Conf. Proc. 1396 (2011) 28-52 [[arXiv:1107.1789](http://arxiv.org/abs/1107.1789), doi:10.1063/1.3647524]

Textbook accounts:

• Steven Weinberg: Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley (1972, 2013) [[ISBN:978-0-471-92567-5](https://www.wiley.com/en-us/Gravitation+and+Cosmology%3A+Principles+and+Applications+of+the+General+Theory+of+Relativity-p-9780471925675), ark:/13960/t13n7rw1f, spire:1410180]

• P. J. E. Peebles, Principles of Physical Cosmology, Princeton University Press (1993, 2020) [[ISBN:9780691209814](https://press.princeton.edu/books/paperback/9780691209814/principles-of-physical-cosmology), pdf]

• John Peacock, Cosmological Physics, Cambridge University Press (1998, 2012) [[doi:10.1017/CBO9780511804533](https://doi.org/10.1017/CBO9780511804533), book webpage]

• Pietro Fré, Gravity, a Geometrical Course, Volume 2: Black Holes, Cosmology and Introduction to Supergravity, Springer (2013) [[doi:10.1007/978-94-007-5443-0](https://doi.org/10.1007/978-94-007-5443-0)]

Lecture notes:

• Matthias Blau, Part F of: Lecture notes on general relativity (web)

• Oliver F. Piattella, Lecture Notes in Cosmology, UNITEXT for Physics, Springer (2018) [[arXiv:1803.00070](https://arxiv.org/abs/1803.00070), doi:10.1007/978-3-319-95570-4]

• Daniel Baumann, TASI Lectures on Primordial Cosmology (arXiv:1807.03098)

• Gianluca Calcagni, Maria Grazia Di Luca, Tomáš Fodran, Lecture at Corfu2021Lectures on classical and quantum cosmology [[arXiv:2202.13875](https://arxiv.org/abs/2202.13875), spire:2039729]

See also:

• Ned Wright, Cosmology tutorial

• Wikipedia, Cosmology

Emphasis on non-perturbative effects:

• Anna Ijjas, Frans Pretorius, Paul Steinhardt, Stability and the gauge problem in non-perturbative cosmology, Journal of Cosmology and Astroparticle Physics, Volume 2019, January 2019 (arXiv:1809.07010, doi:10.1088/1475-7516/2019/01/015)

With 11D supergravity via its E10-sigma-model formulation:

• Axel Kleinschmidt, Hermann Nicolai: E 10E_{10} Cosmology, JHEP 01 (2006) 137 [[arXiv:hep-th/0511290](https://arxiv.org/abs/hep-th/0511290), doi:10.1088/1126-6708/2006/01/137]

In terms of AQFT on curved spacetimes

Discussion of cosmology in terms of perturbative AQFT AQFT on curved spacetimes includes the following:

• Klaus Fredenhagen, Thomas-Paul Hack, Quantum field theory on curved spacetime and the standard cosmological model (arXiv:1308.6773)

• Romeo Brunetti, Klaus Fredenhagen, Thomas-Paul Hack, Nicola Pinamonti, Katarzyna Rejzner, Cosmological perturbation theory and quantum gravity (arXiv:1605.02573)

• Thomas-Paul Hack, Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes, Springer 2016 (arXiv:1506.01869, doi:10.1007/978-3-319-21894-6)

M-cosmology

On non-perturbative string theoretic cosmology (and the Brandenberger-Vafa mechanism) via the BFSS/IKKT matrix model:

• Suddhasattwa Brahma, Robert Brandenberger, Samuel Laliberte: Emergent Cosmology from Matrix Theory, J. High Energ. Phys. 2022 67 (2022) [[arXiv:2107.11512](https://arxiv.org/abs/2107.11512), doi:10.1007/JHEP03(2022)067]

• Suddhasattwa Brahma, Robert Brandenberger, Samuel Laliberte: Emergent Early Universe Cosmology from BFSS Matrix Theory, International Journal of Modern Physics D 31 14 (2022) 2242004 [[arXiv:2205.06016](https://arxiv.org/abs/2205.06016), doi:10.1142/S0218271822420044]

• Suddhasattwa Brahma, Robert Brandenberger, Samuel Laliberte: Emergent Metric Space-Time from Matrix Theory, J. High Energ. Phys. 2022 31 (2022) [[arXiv:2206.12468](https://arxiv.org/abs/2206.12468), doi:10.1007/JHEP09(2022)031]

• Suddhasattwa Brahma, Robert Brandenberger, Samuel Laliberte: BFSS Matrix Model Cosmology: Progress and Challenges, Physics 5 1 (2023) [[arXiv:2210.07288](https://arxiv.org/abs/2210.07288), doi:10.3390/physics5010001]

• Robert Brandenberger: Emergent Metric Space-Time from the BFSS Matrix Model, talk at Perimeter Institute (May 2023) [[doi:10.48660/23050109](https://doi.org/10.48660/23050109), video:pirsa:23050109, slides:pdf]

• Robert Brandenberger, Julia Pasiecznik: On the Origin of the SO(9)→SO(3)×SO(6)SO(9) \to SO(3) \times SO(6) Symmetry Breaking in the IKKT Matrix Model [[arXiv:2409.00254](https://arxiv.org/abs/2409.00254), spire:2824186]

See also at IKKT matrix model – References – Computer simulation.