2012
DOI: 10.1142/s0218271812500435
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From the Embedding Theory to General Relativity in a Result of Inflation

Abstract: We study the embedding theory being a formulation of the gravitation theory where the independent variable is the embedding function for the four-dimensional space-time in a flat ambient space. We do not impose additional constraints which are usually used to remove from the theory the extra solutions not being the solutions of Einstein equations. In order to show the possibility of automatic removal of these extra solutions we analyze the equations of the theory, assuming an inflation period during the expans… Show more

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Cited by 37 publications
(52 citation statements)
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“…The latter can contain so-called "extra" (that is, non-Einsteinian) solutions, and consequently the embedding theory is not equivalent to GR but is its extension. One can try to use the extra solutions to explain some effects which in the framework of GR require introduction of specific types of matter, such as dark energy and dark matter, see [24][25][26]. However, considering the presence of the inflationary era in the history of the Universe, there is a reason to believe that, at least under the Friedmann symmetry, the extra solutions are very strongly suppressed [26].…”
Section: Introductionmentioning
confidence: 99%
“…The latter can contain so-called "extra" (that is, non-Einsteinian) solutions, and consequently the embedding theory is not equivalent to GR but is its extension. One can try to use the extra solutions to explain some effects which in the framework of GR require introduction of specific types of matter, such as dark energy and dark matter, see [24][25][26]. However, considering the presence of the inflationary era in the history of the Universe, there is a reason to believe that, at least under the Friedmann symmetry, the extra solutions are very strongly suppressed [26].…”
Section: Introductionmentioning
confidence: 99%
“…First such consideration at the cosmological scales was done by [42]. However, it turned out that such an approach requires fine-tuning of the initial conditions of the universe [43]. There might be a possibility of using extra solutions in the description of the inflationary phase of the universe, although we are not aware of any successes in this field.…”
Section: Isometric Embeddings and Regge-teitelboim Gravitymentioning
confidence: 99%
“…In the analysis of the extra solutions, an important role is played by a choice of background embedding function. In cosmological applications, authors usually consider the simplest fivedimensional embedding of a FRW model, which is mentioned above (it is this embedding that was used in [41][42][43]). Due to a small number of ambient space dimensions in which the chosen background embedding function is embedded, in the perturbative expansion, the RT equations turn out to be nonlinear with respect to perturbations.…”
Section: Isometric Embeddings and Regge-teitelboim Gravitymentioning
confidence: 99%
“…It is easy to see that they contain "extra" solutions for which G µν κ T µν . This property was initially treated as a drawback of the theory [14], but eventually it become a starting point in search for the explanation of dark matter [15,16].…”
Section: Regge-teitelboim Embedding Theorymentioning
confidence: 99%