By Alfredo Macías, Jorge L. Cervantes-Cota, Claus Lämmerzahl
Divided into 4 elements, this e-book covers contemporary advancements in subject matters bearing on gravity theories, together with discussions at the presence of scalar fields.
half One is dedicated to designated options typically relativity, and is in general curious about the result of rotating null airborne dirt and dust beams and fluids. additionally integrated is a breathtaking imaginative and prescient of recent study instructions during this sector, which might require revising yes theorems and their attainable extensions inside gravity theories, new elements bearing on the Ernst potentials, double Kerr spacetimes, and rotating configurations. specifically, there's a specific dialogue of completely symmetric and completely geodesic areas, during which a style for producing (2+1)-dimensional recommendations from (3+1)-dimensional options is given.
half offers with replacement theories of gravity, all of which comprise scalar fields and gauge fields. the following, quantum and cosmological results, which come up from either gravity theories in 4 and better dimensions and from metric-affine theories, are investigated.
half 3 is dedicated to cosmological and inflationary situations. neighborhood results, reminiscent of the impact of scalar fields in protogalactic interactions, numerical reviews of the cave in of molecular cores, as good because the inverse inflationary challenge and the blue eigenvalue spectrum of it, are thought of. furthermore, the function of scalar fields as darkish topic and quantum cosmology within the Bergman-Wagoner and Gowdy theories, including the relation of the conformal symmetry and deflationary fuel universe, are likewise offered.
The final a part of the e-book contains a few combined subject matters that are nonetheless within the experimental level. between them are the root of the Maxwell concept, a dialogue on electromagnetic Thirring difficulties, a word at the staticity of black holes with non-minimally coupled scalar fields, and a learn of the Lorentz strength loose charged fluids in common relativity.
hence, this e-book is the main up to date, complete number of papers near to distinct strategies and scalar fields in gravity and is a beneficial device for researchers within the region.
Read or Download Exact Solutions and Scalar Fields in Gravity: Recent Developments PDF
Similar physics books
Halogen oxides- radicals, sources and reservoirs in the laboratory and in the atmosphere
Learn job in atmospheric chemistry has endured to speed up lately, and there's now heightened public expertise of the environmental matters within which it performs a component. This publication seems on the new insights and interpretations afforded by way of the new advances, and areas in context those advancements.
Econophysics of Markets and Business Networks
Econophysicists have lately been particularly profitable in modelling and analysing a number of monetary platforms like buying and selling, banking, inventory and different markets. The statistical behaviour of the underlying networks in those structures have additionally been pointed out and characterized lately. This e-book studies the present econophysics researches within the constitution and functioning of those complicated monetary community structures.
- Trends in Elementary Particle Theory
- The Constants of Nature: The Numbers That Encode the Deepest Secrets of the Universe
- Physik mit Bleistift, 4th Edition
- Encyclopaedie der mathematischen Wissenschaften und Anwendungen. Physik
- Microstructure and Wear of Materials
Additional resources for Exact Solutions and Scalar Fields in Gravity: Recent Developments
Sample text
9 (1992) 1271. M. Senovilla, Class. Quantum Grav. J. Chinea, Class. Quantum Grav. 10, 2539 (1993); A. García, Class. Quantum Grav. 11 (1994) L45. J. Ernst, Phys. Rev. 167 (1968) 1175. [12] D. Kramer and G. Neugebauer, Commun. Math. Phys. 10 (1968) 132. [13] D. Kramer, Class. Quantum Grav. 1 (1984) L3; Astron. Nach. 307 (1986) 309. J. J. Pareja, Class. Quantum Grav. 16 (1999) 3823. This page intentionally left blank NEW DIRECTIONS FOR THE NEW MILLENNIUM Frederick J. Ernst * FJE Enterprises. Potsdam, New York 13676, USA Keywords: Exact solutions, potentials formaliosm, Geroch group.
Specializing this theorem for a maximally symmetric hypersurface immersed in a space the corresponding metric decomposes as follows: where Greek indices run and Latin indices run over We shall demonstrate that for a maximally symmetric hypersurface which, at the same time, is a totally geodesic hypersurface, the function entering in (47) has to be a constant (different from zero), which by scaling transformations of the can be equated to 1, 6. TOTALLY GEODESIC HYPERSURFACES An hypersurface is called a totally geodesic hypersurface of an enveloping if all the geodesics of are geodesics of For totally geodesic hypersurfaces there exists the following theorem, stated in the Eisenhart’s textbook [2], E183: A necessary and sufficient condition that a admits a family of totally geodesic hypersurfaces is that its fundamental form be reducible to where are independent of and is any function of and In comparison with the Eisenhart’s coordinates, we have replaced correspondingly by and by Notice that in (48), in front of stands the unit as a factor.
The maximal symmetry of a family of subspaces imposes very strong constraints on the metric of the whole space. The main theorem on maximally symmetric spaces, see W396, can be formulated as follows: It is always possible to choose the coordinates of the maximally symmetric subspaces and the coordinates of the subspaces so that the metric of the whole space is given by where and are functions of the alone, and are functions of the alone, thus is by itself the metric of an maximally symmetric space.