Classical and quantum features of the mixmaster singularity

G Montani, MV Battisti, R Benini… - International Journal of …, 2008 - World Scientific
This review paper is devoted to analyzing the main properties of the cosmological singularity
associated with the homogeneous and inhomogeneous Mixmaster model. After the …

[HTML][HTML] Anisotropic cosmological solutions in gravity

D Müller, A Ricciardone, AA Starobinsky… - The European Physical …, 2018 - Springer
In this paper we investigate the past evolution of an anisotropic Bianchi I universe in\(R+ R^
2\) gravity. Using the dynamical system approach we show that there exists a new two …

On stability of the Kasner solution in quadratic gravity

A Toporensky, D Müller - General Relativity and Gravitation, 2017 - Springer
We consider the dynamics of a flat anisotropic Universe filled by a perfect fluid near a
cosmological singularity in quadratic gravity. Two possible regimes are described—the …

About Starobinsky inflation

D Müller, SDP Vitenti - Physical Review D—Particles, Fields, Gravitation, and …, 2006 - APS
It is believed that soon after the Planck era, space-time should have a semiclassical nature.
According to this, the escape from the general relativity theory is unavoidable. Two …

The isotropization process in the quadratic gravity

D Mueller, MES Alves… - International Journal of …, 2014 - World Scientific
It is believed that soon after the Planck era, spacetime should have a semi-classical nature.
Therefore, it is unavoidable to modify the theory of general relativity or look for alternative …

Homogeneous solutions of quadratic gravity

D Müller - International Journal of Modern Physics: Conference …, 2011 - World Scientific
It is believed that soon after the Planck time, Einstein's general relativity theory should be
corrected to an effective quadratic theory. In this work we present the 3+ 1 decomposition for …

BIANCHI I SOLUTIONS OF EFFECTIVE QUADRATIC GRAVITY

D Müller, JA De Deus - International Journal of Modern Physics D, 2012 - World Scientific
It is believed that soon after the Planck time, Einstein's general relativity theory should be
corrected to an effective quadratic theory. Numerical solutions for the anisotropic …

Bianchi VII A solutions of effective quadratic gravity

JA de Deus, D Müller - General Relativity and Gravitation, 2012 - Springer
It is believed that soon after the Planck time, Einstein's general relativity theory should be
corrected to an effective quadratic theory. Numerical solutions for the anisotropic …

[PDF][PDF] Gravitational waves from isotropisation process in quadratic gravity

D Müller, MES Alves, JCN de Araujo - arXiv preprint arXiv …, 2011 - researchgate.net
A semi-classical theory considers the back reaction of quantum fields in a classical
geometric background. This approach started a long time ago with de Witt [1], and since …

Bianchi solutions of quadratic gravity

JA de Deus, D Müller - arXiv preprint arXiv:1103.5450, 2011 - arxiv.org
It is believed that soon after the Planck time, Einstein's general relativity theory should be
corrected to an effective quadratic theory. Numerical solutions for the anisotropic …