Scales Set by the Cosmological Constant

Andres Balaguera-Antolinez; Christian G. Boehmer; Marek Nowakowski

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Scales Set by the Cosmological Constant

Andres Balaguera-Antolinez, Christian G. Boehmer, Marek Nowakowski

General Relativity and Quantum Cosmology · Submitted 11 Nov 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that Lambda in conjunction with other parameters like the Schwarzschild radius leads to scales relevant not only for cosmological but also for astrophysical applications.

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arXiv IDgr-qc/0511057 (version 2)

Pith IDMHJ3NOLF, Pith's permanent record of this paper and its review

CitationAndres Balaguera-Antolinez, Christian G. Boehmer, Marek Nowakowski. "Scales Set by the Cosmological Constant." arXiv:gr-qc/0511057 (2005). https://pith.science/paper/MHJ3NOLF

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The compiled record

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. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,203 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.47 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The cosmological constant sets certain scales important in cosmology. We show that Lambda in conjunction with other parameters like the Schwarzschild radius leads to scales relevant not only for cosmological but also for astrophysical applications. Of special interest is the extension of orbits and velocity of test particles traveling over Mpc distances. We will show that there exists a lower and an upper cut-off on the possible velocities of test particles. For a test body moving in a central gravitational field Lambda enforces a maximal value of the angular momentum if we insist on bound orbits of the test body which move at a distance larger than the Schwarzschild radius.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The cosmological constant sets certain scales important in cosmology.	background 0.99	0.12	0.28	asserted 1.00
s1	We show that Lambda in conjunction with other parameters like the Schwarzschild radius leads to scales relevant not only for cosmological but also for astrophysical applications.	contribution 0.85	0.88	0.39	asserted 1.00
s2	Of special interest is the extension of orbits and velocity of test particles traveling over Mpc distances.	contribution 0.69	0.19	0.09	asserted 0.75
s3	We will show that there exists a lower and an upper cut-off on the possible velocities of test particles.	result 0.87	0.78	0.26	asserted 0.96
s4	For a test body moving in a central gravitational field Lambda enforces a maximal value of the angular momentum if we insist on bound orbits of the test body which move at a distance larger than the Schwarzschild radius.	result 0.99	0.81	0.27	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The cosmological constant sets certain scales important in cosmology. We show that Lambda in conjunction with other parameters like the Schwarzschild radius leads to scales relevant not only for cosmological but also for astrophysical applications. Of special interest is the extension of orbits and velocity of test particles traveling over Mpc distances. We will show that there exists a lower and an upper cut-off on the possible velocities of test particles. For a test body moving in a central gravitational field Lambda enforces a maximal value of the angular momentum if we insist on bound orbits of the test body which move at a distance larger than the Schwarzschild radius.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Dark Energy in an Astrophysical Context
astro-ph 2006-03 conditional novelty 6.0 of 10

The cosmological constant modifies virial equilibrium in a geometry-dependent way, with enhanced dark-energy effects on flattened, low-density astrophysical systems.
Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows
gr-qc 2026-02 conditional novelty 5.0 of 10

Stable static dark-fluid shells separating two Schwarzschild–de Sitter spacetimes exist only for m_+/m_->1 and arise at three scales, imprinting observable black-hole shadow deviations.
Buchdahl stars and bounds with cosmological constant
gr-qc 2025-07 unverdicted novelty 4.0 of 10

Generalized Buchdahl bounds on horizonless object compactness are derived in the presence of a cosmological constant, preserving universality while yielding method-dependent results.

How the literature uses it

6 arXiv papers cite this in 9 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Compares with it 1 paper

To address this, we examine the Buchdahl star bound in the presence of a cosmological constant, as previously explored [ref] and compare the bounds of the interior and the exterior solutions.

Buchdahl stars and bounds with cosmological constant · Introduction · 0.87

Cites it as support 1 paper

For example, it has been demonstrated that the effects of dark energy on the equilibrium and stability of astrophysical structures is not negligible, and can be of relevance to describe features of astrophysical systems such as globular clusters, galaxy clusters or even galaxies [ref] .

Six Puzzles for LCDM Cosmology · Overpopulation of Disk Galaxies · 1.00

Cites it as background 1 paper

Several authors have studied the virial theorem in models with a cosmological constant [ref] , brane world scenarios [ref] and metric $f(ℛ)$ theories [ref] .

Generalized virial theorem in Palatini $f(R)$ gravity · Introduction · 0.94

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