# nLab standard model of cosmology

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## Surveys, textbooks and lecture notes

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• Axiomatizations

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• Tools

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• Structural phenomena

• Types of quantum field thories

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• examples

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## Spacetimes

vanishing positive
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# Contents

## Idea

The standard model (in theoretical physics) for the observable universe on the largest length scales of cosmology:

it is an inflationary FRW spacetime with cosmological constant (“dark energy”) and cold dark matter. The technical term for this is the $\Lambda$ CDM concordance model (where “$\Lambda$” is the standard symbol for the cosmological constant and “CDM” is for “cold dark matter”).

The current model assumes that the energy density of the observable universe consists of

(e.g. Einasto 09, fig 17, here)

## Properties

### Vacuum energy and Cosmological constant

The renormalization freedom in perturbative quantization of gravity (perturbative quantum gravity) induces freedom in the choice of vacuum expectation value of the stress-energy tensor and hence in the cosmological constant.

For review see Hack 15, section 3.2.1

For more see at cosmological constant here.

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and
content: $e$ $\nabla$ $\psi$ $H$
: density squared component density squared + potential density
$L =$$R(e) vol(e) +$$\langle F_\nabla \wedge \star_e F_\nabla\rangle +$$(\psi , D_{(e,\nabla)} \psi) vol(e) +$$\nabla \bar H \wedge \star_e \nabla H + \left(\lambda {\vert H\vert}^4 - \mu^2 {\vert H\vert}^2 \right) vol(e)$

## References

### General

Lecture notes include

A review is in

• Jorge L. Cervantes-Cota, George Smoot, Cosmology today – A brief review (2011)(arXiv:1107.1789)

A discussion of open problems is in