Canonical and quantum FRW cosmological solutions in M-theory
TLDR
In this article, a canonical and quantum cosmological analysis of a spatially flat, four-dimensional Friedmann-Robertson-Walker (FRW) model that is derived from the M-theory effective action obtained originally by Billyard, Coley, Lidsey and Nilsson is presented.Abstract:
We present a canonical and quantum cosmological investigation of a spatially flat, four-dimensional Friedmann-Robertson-Walker (FRW) model that is derived from the M-theory effective action obtained originally by Billyard, Coley, Lidsey and Nilsson (BCLN). The analysis makes use of two sets of canonical variables, the Shanmugadhasan gauge-invariant canonical variables and the `hybrid' variables which diagonalize the Hamiltonian. We find the observables and discuss in detail the phase space of the classical theory. In particular, a region of phase space exists that describes a four-dimensional FRW spacetime first contracting from a strong-coupling regime and then expanding to a weak-coupling regime, while the internal space always contracts. We find the quantum solutions of the model and obtain the positive norm Hilbert space of states. Finally, the correspondence between wavefunctions and classical solutions is outlined.read more
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Sassolas,Bangalore Suryanarayana Sathyaprakash,Peter R. Saulson,R. L. Savage,Roland Schilling,Roman Schnabel,Roman Schnabel,R. M. S. Schofield,E. Schreiber,D. Schuette,B. Schulz,Bernard F. Schutz,Bernard F. Schutz,P. Schwinberg,John D. Scott,Susan M. Scott,F. Seifert,D. Sellers,A. S. Sengupta,D. Sentenac,A. M. Sergeev,Daniel A. Shaddock,Sweta Shah,M. S. Shahriar,M. Shaltev,B. Shapiro,P. Shawhan,David H. Shoemaker,Trevor Sidery,K. Siellez,Xavier Siemens,D. Sigg,D. Simakov,A. Singer,Leo Singer,Alicia M. Sintes,G. R. Skelton,B. J. J. Slagmolen,J. Slutsky,J. R. Smith,M. R. Smith,R. J.E. Smith,N. D. Smith-Lefebvre,K. Soden,Edwin J. Son,B. Sorazu,Tarun Souradeep,L. Sperandio,A. Staley,E. Steinert,J. Steinlechner,Sebastian Steinlechner,S. Steplewski,Douglas E. Stevens,A. Stochino,Robert Stone,Kenneth A. Strain,S. E. Strigin,A. S. Stroeer,Riccardo Sturani,A. L. Stuver,T. Z. Summerscales,Sunil Susmithan,P. J. Sutton,B. L. Swinkels,G. Szeifert,M. Tacca,D. Talukder,L. Tang,David B. Tanner,S. P. Tarabrin,R. Taylor,A. P. M. ter Braack,M. P. Thirugnanasambandam,Michael Thomas,P. Thomas,K. A. Thorne,Kip S. Thorne,Eric Thrane,Vaibhav Tiwari,K. V. Tokmakov,C. Tomlinson,Alessandra Toncelli,M. Tonelli,O. Torre,C. V. Torres,C. I. Torrie,C. I. Torrie,F. Travasso,G. Traylor,M. Tse,D. Ugolini,C. S. Unnikrishnan,H. Vahlbruch,G. Vajente,Michele Vallisneri,J. F. J. van den Brand,C. Van Den Broeck,S. Van Der Putten,M. V. van der Sluys,J. V. van Heijningen,A. A. van Veggel,S. Vass,M. Vasúth,Ruslan Vaulin,Alberto Vecchio,G. Vedovato,John Veitch,P. J. Veitch,K. Venkateswara,D. Verkindt,S. Verma,F. Vetrano,A. Viceré,R. Vincent-Finley,J-Y. Vinet,Salvatore Vitale,B. Vlcek,T. Vo,H. Vocca,C. Vorvick,W. D. Vousden,Daniel Vrinceanu,S. P. Vyachanin,A. R. Wade,L. E. Wade,M. Wade,Samuel J. Waldman,Michelle E. Walker,L. Wallace,Y. Wan,Jian-Siung Wang,Meng Wang,Xin Wang,A. Wanner,R. L. Ward,M. Was,B. A. Weaver,L.-W. Wei,M. Weinert,A. J. 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References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
Large Mass Hierarchy from a Small Extra Dimension
TL;DR: In this paper, the weak scale is generated from the Planck scale through an exponential hierarchy, but this exponential arises not from gauge interactions but from the background metric, which is a slice of spacetime.
Book
The Large Scale Structure of Space-Time
TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Journal ArticleDOI
An Alternative to compactification
TL;DR: In this paper, a single 3-brane embedded in five dimensions was shown to reproduce four-dimensional Newtonian and general relativistic gravity to more than adequate precision, even without a gap in the Kaluza-Klein spectrum.