A Study on Ricci Dark Energy in Bulk-Brane Interaction

Surajit Chattopadhyay

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A Study on Ricci Dark Energy in Bulk-Brane Interaction

Surajit Chattopadhyay

General Relativity and Quantum Cosmology · Submitted 13 Nov 2013

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

The authors' main claim Also, considering the power law for of the scale factor, we have observed that non-trivial contributions of dark energy which differ from the standard matter fields confined to the brane is increasing with the evolution of the universe.

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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, 3,676 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.19 · compares with prior results 0.12 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

In this work we have investigated the effects of the interaction between a brane universe and the bulk in which it is embedded. Considering the effects of the interaction between a brane universe and the bulk we have obtained the equation of state for the interacting holographic Ricci dark energy density $\rho_{\Lambda}=3c^2 (\dot{H}+2 H^2)$ in the flat universe. We have investigated the impact of $c^2$ on the equation of state $\omega_{\Lambda}$. Also, considering the power law for of the scale factor, we have observed that non-trivial contributions of dark energy which differ from the standard matter fields confined to the brane is increasing with the evolution of the universe.

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	In this work we have investigated the effects of the interaction between a brane universe and the bulk in which it is embedded.	contribution 0.95	0.93	0.05	asserted 0.84
s1	Considering the effects of the interaction between a brane universe and the bulk we have obtained the equation of state for the interacting holographic Ricci dark energy density $\rho_{\Lambda}=3c^2 (\dot{H}+2 H^2)$ in the flat universe.	result 0.94	0.95	0.37	asserted 1.00
s2	We have investigated the impact of $c^2$ on the equation of state $\omega_{\Lambda}$.	contribution 0.89	0.94	0.09	asserted 0.86
s3	Also, considering the power law for of the scale factor, we have observed that non-trivial contributions of dark energy which differ from the standard matter fields confined to the brane is increasing with the evolution of the universe.	result 0.99	0.91	0.40	asserted 1.00

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

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arXiv listing abstract v1

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full text
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P abstract

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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

In this work we have investigated the effects of the interaction between a brane universe and the bulk in which it is embedded. Considering the effects of the interaction between a brane universe and the bulk we have obtained the equation of state for the interacting holographic Ricci dark energy density $\rho_{\Lambda}=3c^2 (\dot{H}+2 H^2)$ in the flat universe. We have investigated the impact of $c^2$ on the equation of state $\omega_{\Lambda}$. Also, considering the power law for of the scale factor, we have observed that non-trivial contributions of dark energy which differ from the standard matter fields confined to the brane is increasing with the evolution of the universe.

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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

What it cites

Cites as background 2 papers

The observed accelerated expansion of the universe is usually attributed to the presence of an exotic kind of energy, called “dark energy" (DE) [ref] .

Dark Energy and Cosmology · Introduction · 0.95
Models of dark energy are conveniently characterized by the equation-of-state parameter $ω=p/ρ$, where $ρ$ is the energy density and $p$ is the pressure [ref] .

Theoretical Limits on the Equation-of-State Parameter of Phantom Cosmology · Introduction · 0.99

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