Behavior of quasilocal mass under conformal transformations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 4, 1999, Pages

  Lohiya, Daksh ^a,b  

^a INTER UNIVERSITY CENTRE FOR ASTRONOMY AND ASTROPHYSICS   (India)

^b UNIVERSITY OF DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144411865     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.59.044019     Document Type: Article

References (34)

1. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
2. R. Adler, M. Bazin, and M. Schiffer, An Introduction to General Relativity (McGraw-Hill, Tokyo, 1975).
3. J. D. Brown and J. W. York, Phys. Rev. D 47, 1407 (1993).
4. L. P. Grishchuk, A. N. Petrov, and A. D. Popova, Commun. Math. Phys. 94, 379 (1984);
5. A. D. Popova and A. N. Petrov, Int. J. Mod. Phys. A 3, 2651 (1988);
6. A. N. Petrov, Class. Quantum Grav. 10, 2663 (1993);
7. A. N. Petrov and J. V. Narlikar, Found. Phys. 26, 1201 (1996).
8. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1975).
9. E. Witten, Commun. Math. Phys. 80, 381 (1981).
10. J. M. Nester, in Asymptotic Behavior of Mass and Spacetime Geometry, edited by F. Flaherty (Springer, Berlin, 1984).
11. R. Penrose, Proc. R. Soc. London A381, 53 (1982).
12. A. J. Dougan and L. J. Mason, Phys. Rev. Lett. 67, 2119 (1991).
13. L. J. Mason, Class. Quantum Grav. 6, L7-13 (1989).
14. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962).
15. J. D. Brown, J. D. E. Creighton, and R. B. Mann, Phys. Rev. D 50, 6394 (1994).
16. G. T. Horowitz, in “Proceedings of the 1992 Trieste Spring School on String Theory and Quantum Gravity,” hep-th/9210119.
17. J. Harvey and A. Strominger, in Recent Directions in Particle Theory: From Superstrings and Black Holes to the Standard Model (TASI-92), Proceedings of the Theoretical Advanced Summer Institute, Boulder, Colorado, edited by J. Harvey and J. Polchinski (World Scientific, Singapore, 1993).
18. G. Veneziano, in String Gravity and Physics at the Planck Energy Scale, edited by N. Sanchez and A. Zichichi (Kluwer Academic, Dordrecht, 1996).
19. M. Gasperini, in String Gravity and Physics at the Planck Energy Scale 15.
20. B. C. Xanthopoulos and T. Zannias, Phys. Rev. D 40, 2564 (1989).
21. R.-G. Cai and Y. S. Myung, Phys. Rev. D 56, 3466 (1997).
22. J. D. E. Creighton and R. B. Mann, Phys. Rev. D 52, 4569 (1995).
23. K. C. K. Chan, J. D. E. Creighton, and R. B. Mann, Phys. Rev. D 54, 3892 (1996).
24. S. W. Hawking and G. T. Horowitz, Class. Quantum Grav. 13, 1487 (1996).
25. K. C. K. Chan, “Is mass conformally invariant?”, University of Waterloo
26. R. Capovilla, R. Cordero, and J. Guven, Mod. Phys. Lett. A 11, 2755 (1996).
27. T. J. Willmore, Total Curvature in Riemannian Geometry (Ellis Horwood Limited, 1982).
28. L. Abbott and S. Deser, Nucl. Phys. B195, 76 (1982).
29. G. Gibbons, Nucl. Phys. B207, 337 (1982);
30. Nucl. Phys.G. Gibbons and K. Maeda, B298, 741 (1988).
31. D. Garfinkle, G. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991);
32. Phys. Rev. DD. GarfinkleG. HorowitzA. Strominger45, 3888(E) (1992).
33. K. C. K. Chan, J. H. Horne, and R. B. Mann, Nucl. Phys. B447, 441 (1995).
34. S. Bose (work in progress).