2011/06/30 by S. A. Paston, S. A. PASTON, A. A. Sheykin +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Embedding #Friedmann–Lemaître–Robertson–Walker metric #General relativity #Gravitation #Inflation (cosmology) #Noncommutative and Quantum Gravity Theories #Quantum gravity #Spacetime #Theory of relativity #gr-qc
paper · pdf · doi:10.1142/s0218271812500435
published as Int. J. Mod. Phys. D 21, No. 5 (2012) 1250043 · LaTeX, 18 pages; in this version some references was added
openalex publication_date 2012/04/02 · arxiv created 2012/05/31 · arxiv updated 2012/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the embedding theory being a formulation of the gravitation theory where the independent variable is the embedding function for the four-dimensional spacetime 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 expansion of the universe. In the framework of Friedmann–Robertson–Walker (FRW) symmetry we study the initial conditions for the inflation, and we show that after its termination the Einstein equations begin to satisfy with a very high precision. The properties of the theory equations allow us to suppose with confidence that the Einstein equations will satisfy with enough precision out of the framework of FRW symmetry as well. Thus the embedding theory can be considered as a theory of gravity which explains observed facts without any additional modification of it and we can use this theory in a flat space when we try to develop a quantum theory of gravity.