By Paul E. Ehrlich (auth.), Jörg Frauendiener, Domenico J.W. Giulini, Volker Perlick (eds.)

ISBN-10: 3540310274

ISBN-13: 9783540310273

Today, basic relativity charges one of the such a lot correctly validated primary theories in all of physics. even though, deficiencies in our mathematical and conceptual figuring out nonetheless exist, and those in part impede extra growth. as a result by myself, yet no less significant from the viewpoint theory-based prediction will be considered as no larger than one's personal structural figuring out of the underlying conception, one may still adopt severe investigations into the corresponding mathematical matters. This ebook features a consultant number of surveys by way of specialists in mathematical relativity writing concerning the present prestige of, and difficulties in, their fields. There are 4 contributions for every of the subsequent mathematical parts: differential geometry and differential topology, analytical equipment and differential equations, and numerical equipment. This booklet addresses graduate scholars and expert researchers alike.

Show description

Read Online or Download Analytical and Numerical Approaches to Mathematical Relativity PDF

Similar mathematics books

Read e-book online Several complex variables and integral formulas PDF

This quantity is an introductory textual content in different complicated variables, utilizing tools of necessary representations and Hilbert area thought. It investigates ordinarily the reports of the estimate of strategies of the Cauchy Riemann equations in pseudoconvex domain names and the extension of holomorphic features in submanifolds of pseudoconvex domain names that have been built within the final 50 years.

Download PDF by Jean Dieudonne, A. Grothendieck: EGA IV 4: Etude locale des schemas et des morphismes de

Eight. five x eleven hardcover - in EGA sequence - textual content in French

Extra resources for Analytical and Numerical Approaches to Mathematical Relativity

Sample text

J. Cheeger, D. Ebin: Comparison Theorems in Riemannian Geometry (North– Holland, Amsterdam 1975) 21 28. J. Cheeger, D. Gromoll: The splitting theorem for manifolds of nonnegative Ricci curvature. J. Diff. Geom. 6, 119–128 (1971) 17, 18 29. S. Clarke: On the geodesic completeness of causal space-times. Proc. Camb. Phil. Soc. 69, 319–324 (1971) 8 30. P. Eberlein, B. O’Neill: Visibility manifolds. Pacific J. Math. 46, 45–109 (1973) 5, 30 31. E. Ehrlich: Metric deformation of curvature. I: Local convex deformations.

R. Acad. Sci. Paris Ser. A 581, 1129–1131 (1977) 12 8. K. E. Ehrlich: Conformal deformations, Ricci curvature and energy conditions on globally hyperbolic space-times. Math. Proc. Camb. Phil. Soc. 84, 159–175 (1978) 8, 9, 10 A Personal Perspective on Global Lorentzian Geometry 31 9. K. E. Ehrlich: The space-time cut locus. Gen. Rel. Grav. 11, 89–103 (1979) 10, 23, 24 10. K. E. Ehrlich: Cut points, conjugate points and Lorentzian comparison theorems. Math. Proc. Camb. Phil. Soc. 86, 365–384 (1979) 10 11.

H. Eschenburg: The splitting theorem for space-times with strong energy condition. J. Diff. Geom. 27, 477–491 (1988) 20 38. -H. Eschenburg, E. Heintze: An elementary proof of the Cheeger–Gromoll splitting theorem, Ann. Global Analysis Geometry 2, 141–151 (1984) 18 39. L. Flores, M. S´ anchez: Causality and conjugate points in general plane waves. Class. Quantum Grav. 20, 2275–2291 (2003) 30 40. T. H. Freeman, San Francisco 1979) 23 41. G. Galloway: Splitting theorems for spatially closed space-times.

Download PDF sample

Analytical and Numerical Approaches to Mathematical Relativity by Paul E. Ehrlich (auth.), Jörg Frauendiener, Domenico J.W. Giulini, Volker Perlick (eds.)


by Anthony
4.1

Rated 4.83 of 5 – based on 16 votes