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Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: “Challanges of New Physics in the Space” Campos do Jordão, 30/04/2009

Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

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Page 1: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Modeling nonlinear dark energy fluctuations

Ronaldo Carlotto Batista IF-USP

Raul Abramo, Rogério Rosenfeld,

Lamartine Liberato

I Workshop: “Challanges of New Physics in the Space”Campos do Jordão, 30/04/2009

Page 2: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Dark Energy Models

Cosmological Constant

Canonical Scalar Field

Perfect Fluid

e.g. Chaplygin Gas

K-essence

e.g. Tachyon, Born-Infeld

Page 3: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Dark Energy Linear Perturbations

For quintessence

Order of Hubble radius ~ Gpc

Hwang & Noh 2001

Page 4: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Spherical Collapse with DE fluctuations

Mota & van de Bruck 2004

For quintessence:

Page 5: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Spherical Collapse with DE fluctuations

Lima et. al. 1997Pseudo-newtonian Cosmology

Page 6: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Linear Comparison PN - GR PRD arxiv 0902.3226

With pressure gradient

Spherical Collapse App.

Page 7: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Relativistic Spherical Collapse

For perfect fluids:

Linear Nonlinear

Page 8: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Relativistic Spherical Collapse

For quintessence

Page 9: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Relativistic Spherical Collapse

For Dark Matter in EdS

For small scales

Page 10: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Relativistic Spherical Collapse

Dark Matter evolution in EdS

Page 11: Modeling nonlinear dark energy fluctuations Ronaldo Carlotto Batista IF-USP Raul Abramo, Rogério Rosenfeld, Lamartine Liberato I Workshop: Challanges of

Thanks

This work is supported by FAPESP