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Main Authors: Musso, Marcello, Despali, Giulia, Sheth, Ravi K.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.20207
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author Musso, Marcello
Despali, Giulia
Sheth, Ravi K.
author_facet Musso, Marcello
Despali, Giulia
Sheth, Ravi K.
contents As it collapses to form a halo, the shape of a protohalo patch is deformed by the initial shear field. This deformation is often modeled using the "deformation" tensor, constructed from second derivatives of the gravitational potential, whose trace gives the initial overdensity. However, especially for lower mass protohalos, this matrix is not always positive definite: one of its eigenvalues has a different sign from the others. We show that the evolution of a patch is better described by the "energy shear" tensor, which is positive definite and plays a direct role in the evolution. This positive-definiteness simplifies models of halo abundances, assembly and of the cosmic web.
format Preprint
id arxiv_https___arxiv_org_abs_2405_20207
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The energy shear of protohaloes
Musso, Marcello
Despali, Giulia
Sheth, Ravi K.
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
As it collapses to form a halo, the shape of a protohalo patch is deformed by the initial shear field. This deformation is often modeled using the "deformation" tensor, constructed from second derivatives of the gravitational potential, whose trace gives the initial overdensity. However, especially for lower mass protohalos, this matrix is not always positive definite: one of its eigenvalues has a different sign from the others. We show that the evolution of a patch is better described by the "energy shear" tensor, which is positive definite and plays a direct role in the evolution. This positive-definiteness simplifies models of halo abundances, assembly and of the cosmic web.
title The energy shear of protohaloes
topic Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
url https://arxiv.org/abs/2405.20207