Relativistic elasticity

Classical and Quantum Gravity

Volumn 20, Issue 5, 2003, Pages 889-904

  Beig, Robert ^a   Schmidt, Bernd G ^b  

^a UNIVERSITY OF VIENNA   (Austria)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037278826     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/5/308     Document Type: Article

References (17)

1. Ball J M 1985 Remarks on the paper 'Basic calculus of variations' Pac. J. Math. 116 7-10
2. Carter B and Quintana H 1972 Foundations of general relativistic high-pressure elasticity theory Proc. R. Soc. A 331 57-83
3. Christodoulou D 2000 The Action Principle and Partial Differential Equations (Princeton, NJ: Princeton University Press)
4. Ciarlet P G 1988 Mathematical Elasticity: Vol 1. Three-Dimensional Elasticity (Amsterdam: North-Holland)
5. Ehlers J 1973 Survey of general relativity theory Relativity, Astrophysics and Cosmology ed W Israel (Boston, MA: Dordrecht)
6. Gurtin M E 1981 An Introduction to Continuum Mechanics (New York: Academic)
7. Herglotz G 1911 Über die Mechanik des deformierbaren Körpers vom Standpunkte der Relativitätstheorie Ann. Phys., Lpz 36 483-533
8. Hughes T J R, Kato T and Marsden J E 1977 Well-posed quasilinear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity Arch. Ration. Mech. Anal. 63 273-94
9. John F 1977 Finite amplitude waves in a homogenous isotropic elastic solid Commun. Pure Appl. Math. 30 421-46
10. Karlovini M and Samuelsson L 2002 Elastic stars in general relativity: I. Foundations and equilibrium models Preprint gr-qc/0211026
11. Kato T 1975 The Cauchy problem for quasi-linear symmetric hyperbolic systems Arch. Ration. Mech. Anal. 58 181-205
12. Kijowski J and Magli G 1992 Relativistic elastomechanics as a Lagrangian field theory J. Geom. Phys. 9 207-23
13. Maugin G A 1978 Exact relativistic theory of wave propagation in pre-stressed nonlinear elastic solids Ann. Inst. H Poincaré 28 155-85
14. Nordström G 1916/1917 De gravitatietheorie van Einstein en de mechanica van Herglotz Versl. Afdeeling Naturk. 25 836-43
15. Soper D E 1976 Classical Field Theory (New York: Wiley)
16. Tahvildar-Zadeh A S 1998 Relativistic and nonrelativistic elastodynamics with small shear strains Ann. Inst. H Poincaré 69 215-307
17. Trautman A 1965 Foundations and current problems of general relativity Lectures on General Relativity ed S Deser and K W Ford (Englewood Cliffs, NJ: Prentice-Hall)