# Rationality of spectral action for Robertson-Walker metrics

@article{Fathizadeh2014RationalityOS, title={Rationality of spectral action for Robertson-Walker metrics}, author={Farzad Fathizadeh and Asghar Ghorbanpour and Masoud Khalkhali}, journal={Journal of High Energy Physics}, year={2014}, volume={2014}, pages={1-22} }

A bstractWe use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic scale factor a(t) and its higher derivatives, which describe the general terms a2n in the expansion of the spectral action for general Robertson-Walker metrics. We also compute the terms up to a12 in the expansion of the spectral action by our method. As a byproduct, we verify that our computations agree with… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 40 REFERENCES

## Spectral action for Robertson-Walker metrics

VIEW 19 EXCERPTS

HIGHLY INFLUENTIAL

## Global and local aspects of spectral actions

VIEW 1 EXCERPT

## The Spectral Action and Cosmic Topology

VIEW 1 EXCERPT

## The Uncanny Precision of the Spectral Action

VIEW 1 EXCERPT

## Noncommutative Mixmaster Cosmologies

VIEW 1 EXCERPT

## Spectral Action for Torsion with and without Boundaries

VIEW 1 EXCERPT

## Asymptotic Formulae in Spectral Geometry

VIEW 3 EXCERPTS