General Relativity and Quantum Cosmology · arXiv:1012.3171 v2 · submitted 14 Dec 2010
Anisotropic stress and stability in modified gravity models
The paper says
“Particularly, setting the anisotropic stress equal to zero for a de Sitter background leads to a singularity that makes it impossible to reach the de Sitter evolution.”
from the abstract · picked out as the main claim by a classifier
Reviews
Reviews by people
No person has reviewed this paper on Pith yet. A scientist listed on Pith can review it for a fee, and their review is published here whatever it concludes.
The paper
Abstract
The existence of anisotropic stress of a purely geometrical origin seems to be a characteristic of higher order gravity models, and has been suggested as a probe to test these models observationally, for example in weak lensing experiments. In this paper, we seek to find a class of higher order gravity models of f(R,G) type that would give us a zero anisotropic stress and study the consequences for the viability of the actual model. For the special case of a de Sitter background, we identify a subclass of models with the desired property. We also find a direct link between anisotropic stress and the stability of the model as well as the presence of extra degrees of freedom, which seems to be a general feature of higher order gravity models. Particularly, setting the anisotropic stress equal to zero for a de Sitter background leads to a singularity that makes it impossible to reach the de Sitter evolution.
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. No sentence in this record was written by a model.
abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.99
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.89 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.13 · mentions code or data availability 0.01
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The existence of anisotropic stress of a purely geometrical origin seems to be a characteristic of higher order gravity models, and has been suggested as a probe to test these models observationally, for example in weak lensing experiments. | background 1.00 | 0.05 | 0.03 | hedged possibility 0.81 |
| In this paper, we seek to find a class of higher order gravity models of f(R,G) type that would give us a zero anisotropic stress and study the consequences for the viability of the actual model. | contribution 1.00 | 0.59 | 0.07 | asserted 0.70 |
| For the special case of a de Sitter background, we identify a subclass of models with the desired property. | result 0.82 | 0.95 | 0.08 | asserted 1.00 |
| We also find a direct link between anisotropic stress and the stability of the model as well as the presence of extra degrees of freedom, which seems to be a general feature of higher order gravity models. | result 0.75 | 0.85 | 0.27 | asserted 0.72 |
| Particularly, setting the anisotropic stress equal to zero for a de Sitter background leads to a singularity that makes it impossible to reach the de Sitter evolution. | result 0.98 | 0.91 | 0.53 | asserted 0.99 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v2
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,392 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 11 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Consistent perturbations in an imperfect fluid astro-ph.CO · Aug 2012
- The fate of large-scale structure in modified gravity after GW170817 and GRB170817A astro-ph.CO · Nov 2017
- Anisotropic stress as signature of non-standard propagation of gravitational waves astro-ph.CO · Jun 2014
- Model-independent constraints on the cosmological anisotropic stress astro-ph.CO · Nov 2013
- General Relativistic N-body simulations in the weak field limit astro-ph.CO · Aug 2013
- Cosmological Parameter Estimation with Large Scale Structure Observations astro-ph.CO · Aug 2013
- Probing Dark Energy through Scale Dependence astro-ph.CO · Apr 2013
- Probing the Cosmological Principle with weak lensing shear astro-ph.CO · Nov 2024
- Effects of Anisotropic Stress in Interacting Dark Matter - Dark Energy Scenarios astro-ph.CO · Apr 2018
- The phenomenological approach to modeling the dark energy astro-ph.CO · Apr 2012
- Beyond $\Lambda$CDM: Problems, solutions, and the road ahead astro-ph.CO · Dec 2015
How the literature uses it
21 arXiv papers cite this in 24 sentences
Papers citing it · 19 sentences without a confident label
Cites it as support 1 paper
-
We can clearly see that the only way to suppress the anisotropic stress is to either make the coupling $σ$ very weak, i.e. effectively make the Horndeski terms non-minimally coupled to gravity irrelevant for the dynamics of dark energy, or to suppress the scalar perturbations, which is only possible if the scalar is very massive and not evolving, i.e. it just contributes vacuum energy [ref] .
Probing Dark Energy through Scale Dependence · Consistency with general Horndeski theories featuring anisotropic stress · 0.97
Cites it as background 4 papers
-
While the existence of a sound horizon and the associated pressure perturbations are a key feature of scalar field dark energy models like Quintessence and K-essence, the anisotropic stress is usually considered as a smoking gun for modifications of gravity [ref] .
Nonlinear cosmological consistency relations and effective matter stresses · Anisotropic stress in modified gravity · 0.87
-
For some particular cases of $f(R,G)$, the perturbations on the solutions have been analyzed in Ref. [ref] , whereas for Hořava-Lifshitz gravity, the analysis has been performed in Ref. [ref] .
On the stability of the cosmological solutions in f(R,G) gravity · Introduction · 0.96
-
The anisotropic stress or gravitational slip quantity $η(z)$ is both an element that allows for the non-minimal coupling of the dark energy with gravity in the context of the Jordan frame, and a purely geometric characteristic of higher order modified gravity models [ref] .
Machine learning constraints on deviations from general relativity from the large scale structure of the Universe · Theory · 0.94
What it cites · 6 sentences without a confident label
Cites as background 3 papers
-
The nature of the postulated dark energy which is responsible for the accelerated expansion is still a mystery [ref] .
Dark Energy and Modified Gravity · Introduction · 0.94
-
The nature of the postulated dark energy which is responsible for the accelerated expansion is still a mystery [ref] .
Dark Energy in Practice · Introduction · 0.94
-
The nature of the postulated dark energy which is responsible for the accelerated expansion is still a mystery [ref] .
Accelerating Universe: Observational Status and Theoretical Implications · Introduction · 0.94
Challenges and discussion
Know something about this paper? Leave a comment.
Come back by email
A short list of the week's newly reviewed papers. Nothing is sent until you confirm from your inbox, and every email has a link that stops it. No account.
No comments yet.
Sign in to comment