Power-law inflation in spacetimes without symmetry

Communications in Mathematical Physics

Volumn 269, Issue 1, 2007, Pages 1-15

  Heinzle, J Mark ^a   Rendall, Alan D ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33751100357     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0133-y     Document Type: Article

References (14)

1. Anderson, M.T.: Existence and stability of even dimensional asymptotically de Sitter spaces. Ann. H. Poincaré 6, 801-820 (2005)
2. Bieli, R.: Algebraic expansions for curvature coupled scalar field models. Class. Quart. Grav. 22, 4363-4376 (2005)
3. Choquet-Bruhat, Y., DeWitt-Morette, C.: Analysis, Manifolds and Physics. Part 2. Amsterdam: North-Holland, 1989
4. Dobarro, F., Ünal, B.: Curvature of multiply warped products. J. Geom. Phys. 55(1), 75-106 (2005)
5. Friedrich, H.: Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constant. J. Geom. Phys. 3, 101-117 (1986)
6. Friedrich, H.: On the Existence of n-Geodesically Complete or Future Complete Solutions of Einstein's Field Equations with Smooth Asymptotic Structure. Commun. Math. Phys. 107, 587-609 (1986)
7. Halliwell, J.J.: Scalar fields in cosmology with an exponential potential. Phys. Lett. B 185, 341-344 (1987)
8. Lee, H.: The Einstein-Vlasov system with a scalar field. Ann. Henri Poincaré 6, 697-723 (2005)
9. Müller, V., Schmidt, H.J., Starobinsky, A.A.: Power-law inflation as an attractor solution for inhomogeneous cosmological models. Class. Quant. Grav. 7, 1163-1168 (1990)
10. Rendall, A.D.: Accelerated cosmological expansion due to a scalar field whose potential has a positive lower bound. Class. Quant. Grav. 21, 2445-2454 (2004)
11. Rendall, A.D.: Asymptotics of Solutions of the Einstein Equations with Positive Cosmological Constant. Ann. Henri Poincaré 5, 1041-1064 (2004)
12. Rendall, A.D.: Mathematical properties of cosmological models with accelerated expansion. In: Leer. Notes in Phys. 692, Berlin-Heidelberg-New York: Springer, 2006, pp. 141-155
13. Rendall, A.D.: Intermediate inflation and the slow-roll approximation. Class. Quant. Grav. 22, 1655-1666 (2005)
14. Tchapnda, S.B., Rendall, A.D.: Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant. Class. Quant. Grav. 20, 3037-3049 (2003)