Power-law solutions for TeVeS

C.E. Magalhaes Batista; W. Zimdahl

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Power-law solutions for TeVeS

C.E. Magalhaes Batista, W. Zimdahl

General Relativity and Quantum Cosmology · Submitted 17 Dec 2009

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

The authors' main claim An equivalent General Relativity (GR) picture of the dynamics suggests that it is the scalar field which plays the role of dark matter, while the "matter" has to mimic (phantom-type) dark energy.

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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, 3,700 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.62 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.22 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The dynamics of TeVeS in a homogeneous and isotropic universe is shown to be equivalent to the dynamics of an interacting two-component system, consisting of a scalar field and a "fluid", related to the matter part, with explicitly given coupling term. Scaling solutions (solutions with a constant ratio of the energy densities of both components) in the "Einstein frame" are found which are exponentially expanding or contracting with no remaining freedom for Bekenstein's $F$ function. In the "physical frame" these solutions are of the power-law type. An equivalent General Relativity (GR) picture of the dynamics suggests that it is the scalar field which plays the role of dark matter, while the "matter" has to mimic (phantom-type) dark energy.

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 dynamics of TeVeS in a homogeneous and isotropic universe is shown to be equivalent to the dynamics of an interacting two-component system, consisting of a scalar field and a "fluid", related to the matter part, with explicitly given coupling term.	result 0.61	0.86	0.25	asserted 1.00
s1	Scaling solutions (solutions with a constant ratio of the energy densities of both components) in the "Einstein frame" are found which are exponentially expanding or contracting with no remaining freedom for Bekenstein's $F$ function.	result 1.00	0.92	0.30	asserted 1.00
s2	In the "physical frame" these solutions are of the power-law type.	result 1.00	0.84	0.23	asserted 1.00
s3	An equivalent General Relativity (GR) picture of the dynamics suggests that it is the scalar field which plays the role of dark matter, while the "matter" has to mimic (phantom-type) dark energy.	interpretation 0.99	0.69	0.38	hedged possibility 0.97

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

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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 dynamics of TeVeS in a homogeneous and isotropic universe is shown to be equivalent to the dynamics of an interacting two-component system, consisting of a scalar field and a "fluid", related to the matter part, with explicitly given coupling term. Scaling solutions (solutions with a constant ratio of the energy densities of both components) in the "Einstein frame" are found which are exponentially expanding or contracting with no remaining freedom for Bekenstein's $F$ function. In the "physical frame" these solutions are of the power-law type. An equivalent General Relativity (GR) picture of the dynamics suggests that it is the scalar field which plays the role of dark matter, while the "matter" has to mimic (phantom-type) dark energy.

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What this paper does with the arXiv papers it cites

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 · 7 sentences without a confident label

Uses the method or tool of 1 paper

Our strategy here is similar to that already applied previously for scalar-tensor theories [ref] .

Power-law solutions and accelerated expansion in scalar-tensor theories · Introduction · 0.92

Compares with 3 papers

For the case of non-relativistic matter ([ref]) reduces to [equation] The big rip singularity is approached after a time span $t̃_br$ [equation] Notice that this big rip solution is different from Caldwell's solution in GR [ref] .

A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state · Dynamics in the physical frame · 1.00
The relation between the physical EoS parameter $w̃_eff$ and the auxiliary quantity $w_eff = -1$ is different from a corresponding relation in scalar-tensor theories [ref] .

Power-law solutions and accelerated expansion in scalar-tensor theories · Dynamics in the physical frame · 0.98
(21) in [ref] ).

A Possible Late Time $\Lambda$CDM-like Background Cosmology in Relativistic MOND Theory · Implications for the $F$ function · 1.00

Cites as background 16 papers

In several of these studies the question was raised whether TeVeS can also account for an accelerated expansion or, in other words, whether it can also avoid the explicit introduction of a dark energy component [ref] .

A Possible Late Time $\Lambda$CDM-like Background Cosmology in Relativistic MOND Theory · Introduction · 0.89
Cosmological applications of TeVeS were studied in [ref] .

Dark Matter, Modified Gravity and the Mass of the Neutrino · Introduction · 0.93
Cosmological applications of TeVeS were studied in [ref] .

Can Cosmic Structure form without Dark Matter? · Introduction · 0.93

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