Diffusion in the general theory of relativity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 2, 2010, Pages

  Herrmann, Joachim ^a  

^a MAX BORN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955598329     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.024026     Document Type: Article

References (35)

1. J. Lopuszanski, Acta Phys. Pol. 12, 87 (1953). APPOAK 0001-673X
2. R.M. Dudley, Ark. Mat. Astron. Fys. AMAFAX 0365-4133 6, 241 (1966). 10.1007/BF02592032
3. R. Hakim, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 6, 1482 (1965). 10.1063/1.1704685
4. F. Debbasch and J.P. Rivet, J. Stat. Phys. 90, 1179 (1998). JSTPSB 0022-4715 10.1023/A:1023275210656
5. J. Dunkel and P. Hänggi, Phys. Rev. E PLEEE8 1539-3755 72, 036106 (2005). 10.1103/PhysRevE.72.036106
6. O. Oron and L.P. Horwith, Found. Phys. 35, 1181 (2005). FNDPA4 0015-9018 10.1007/s10701-005-6406-z
7. G. Chacon-Acosta and G.M. Kremer, Phys. Rev. E PLEEE8 1539-3755 76, 021201 (2007). 10.1103/PhysRevE.76.021201
8. Z. Haba, Phys. Rev. E PLEEE8 1539-3755 79, 021128 (2009). 10.1103/PhysRevE.79.021128
9. J. Dunkel and P. Hänggi, Phys. Rep. 471, 1 (2009). PRPLCM 0370-1573 10.1016/j.physrep.2008.12.001
10. F. Debbasch, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 45, 2744 (2004). 10.1063/1.1755860
11. J. Franchi and Y. Le Jan, Commun. Pure Appl. Math. CPMAMV 0010-3640 60, 187 (2007). 10.1002/cpa.20140
12. C. Chevalier and F. Debbasch, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 48, 023304 (2007). 10.1063/1.2437852
13. F. Jüttner, Ann. Phys. (Leipzig) ANPYA2 0003-3804 339, 856 (1911). 10.1002/andp.19113390503
14. S.R. de Groot, W.A. Leeuwen, and Ch.G. Weert, Relativistic Kinetic Theory (North-Holland, Amsterdam, 1980).
15. C. Cercignani and G.M. Kremer, Relativistic Boltzmann Equation: Theory and Applications (Birkhäuser Verlag, Basel, 2002).
16. W. Israel and J.W. Stewart, Ann. Phys. (N.Y.) APNYA6 0003-4916 118, 341 (1979). 10.1016/0003-4916(79)90130-1
17. J.M. Stewart, Non-Equilibrium Relativistic Kinetic Theory, Lecture Notes in Physics Vol. 10 (Springer, Berlin, 1971).
18. J. Ehlers, in General Relativity and Cosmology, edited by, R.K. Sachs, (Academic, New York, 1971).
19. J. Bernstein, Kinetic Theory in The Expanding Universe (Cambridge University Press, Cambridge, England, 1988).
20. R. Martens, Classical Quantum Gravity CQGRDG 0264-9381 12, 1455 (1995). 10.1088/0264-9381/12/6/011
21. M.K. Mak and T. Harko, Int. J. Mod. Phys. D 12, 925 (2003). IMPDEO 0218-2718 10.1142/S021827180300330X
22. M.A. Schweizer, Astron. Astrophys. 151, 79 (1985). AAEJAF 0004-6361
23. I.S. Liu, I Müller, and T. Ruggeri, Ann. Phys. (N.Y.) APNYA6 0003-4916 169, 191 (1986). 10.1016/0003-4916(86)90164-8
24. W. Hu, D. Scott, and J. Silk, Phys. Rev. D PRVDAQ 0556-2821 49, 648 (1994). 10.1103/PhysRevD.49.648
25. Z. Banach, Physica (Amsterdam) 275A, 405 (2000). PHYADX 0378-4371 10.1016/S0378-4371(99)00405-7
26. C.-P. Ma and E. Bertschinger, Astrophys. J. ASJOAB 0004-637X 612, 28 (2004). 10.1086/421766
27. D. Meritt, Astrophys. J. 568, 998 (2002). ASJOAB 0004-637X 10.1086/339035
28. V. Berezinsky and A.Z. Gazizov, Astrophys. J. 643, 8 (2006). ASJOAB 0004-637X 10.1086/502626
29. N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes (North-Holland, Amsterdam, 1989).
30. E.P. Hsu, Stochastic Analysis on Manifolds, Graduate Studies in Mathematics 38 (American Mathematical Society, Providence, RI, 2002).
31. J. Herrmann, Phys. Rev. E PLEEE8 1539-3755 80, 051110 (2009). 10.1103/PhysRevE.80.051110
32. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
33. Bo Yuan Hou, Differential Geometry of Physicists (World Scientific, Singapore, 1997).
34. E.W. Kolb and M.S. Turner, The Early Universe (Addison-Wesley, Redwood City, CA, 1990).
35. C. Bona, Lect. Notes Phys. 783, 25 (2009). LNPHA4 0075-8450 10.1007/978-3-642-01164-1-2