Abstract
The general misconception regarding velocity measurements of a test particle as it approaches black hole is addressed by introducing generalized observer set. For a general static spherically symmetric metric applicable to both Einstein and alternative gravities as well as for some well known solutions in alternative gravity theories, we find that velocity of the test particle do not approach that of light at event horizon by considering ingoing observers and test particles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alexander, S., Yunes, N.: Phys. Rep. 480, 1 (2009)
Balcerzak, A., Dabrowski, M.P.: Phys. Rev. D 81, 123527 (2010)
Bekenstein, J.: Phys. Rev. D 5, 1239 (1972)
Bekensein, J.: Ann. Phys. 91, 75 (1975)
Bergmann, P.G.: Introduction to the Theory of Relativity. Prentice-Hall, New York (1942)
Birrell, N.D., Davies, P.C.W.: Quantum Fields in Curved Space. Cambridge University Press, Cambridge (1982)
Bocharova, N., Broonikov, K., Melnikov, V.: Vestn. Mosk. Univ., Ser. 3 Fiz. Astron. 6, 706 (1970)
Bolós, V.J.: gr-qc/0506032v4 (2011) preprint
Bolós, V.J.: J. Geom. Phys. 56, 813 (2006)
Boulware, D.G., Deser, S.: Phys. Rev. Lett. 55, 2656 (1985)
Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Chakraborty, S., Bandyopadhyay, T.: Class. Quantum Gravity 25, 245015 (2008)
Chakraborty, S., Chakraborty, S.: Can. J. Phys. 89, 689 (2011). arXiv:1109.0676 [gr-qc]
Coleman, S.: In: Zichichi, A. (ed.) The Unity of the Fundamental Interactions, Plenum, London (1983)
Corda, C.: Eur. Phys. J. 65, 257 (2010)
Crawford, P., Tereno, I.: Gen. Relativ. Gravit. 34, 2075 (2002)
De Vega, H.J., Sanchez, N.: Nucl. Phys. B 309, 552 (1988)
Dehghani, M.H.: Phys. Rev. D 70, 064019 (2004)
Ellis, G.F.R., Nel, S.D., Maartens, R., Stoeger, W.R., Whitman, A.P.: Phys. Rep. 124, 315 (1985)
Felice, A.D., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010)
Garfinkle, D., Horowitz, G.T., Strominger, A.: Phys. Rev. D 43, 3140 (1991)
Green, M.B., Schwarz, J.H., Witten, E.: Cambridge Monograph on Mathematical Physics. Cambridge University Press, Cambridge (1987a)
Green, M.B., Schwarz, J.H., Witten, E.: Loop Amplitudes, Anomalies and Phenomenology, Superstring Theory, vol. 2. Cambridge University Press, Cambridge (1987b)
Janis, A.: Phys. Rev. D 15, 3068 (1977)
Landau, L., Lifschitz, E.: The Classical Theory of Fields, 3rd edn. Addison-Wesley, Reading (1971)
Lovelock, D.: J. Math. Phys. 12, 498 (1971)
Mignemi, S., Stewart, N.R.: Phys. Lett. B 298, 299 (1993)
Moller, C.: The Theory of Relativity, 2nd edn. Oxford University Press, Delhi (1972)
Nelson, W.: Phys. Rev. D 82, 124044 (2010)
Nojiri, S., Odinstov, S.D.: Phys. Rev. D 68, 123512 (2003)
Nojiri, S., Odinstov, S.D.: arXiv:0807.0685 (2008)
Nojiri, S., Odinstov, S.D.: Phys. Rep. 505, 59 (2011)
Teller, E.F., Wheeler, J.A.: Spacetime Physics: Introduction to Special Relativity. W.H. Freeman, San Fransisco (1992)
Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)
Witten, E. (ed.) Gravitation: an Introduction to Current Research. Wiley, New York (1962)
Yunes, N., Stein, L.C.: Phys. Rev. D 83, 104002 (2011)
Zumino, B.: Phys. Rep. 137, 109 (1986)
Acknowledgements
The author thanks prof. Subenoy Chakraborty of Jadavpur University and Prof. Soumitra Sengupta of IACS for helpful discussion. The author also thanks DST, Govt. of India for awarding KVPY fellowship. He gratefully thanks IUCAA, Pune, for warm hospitality where a part of this work was done.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chakraborty, S. Velocity measurements in some classes of alternative gravity theories. Astrophys Space Sci 347, 411–421 (2013). https://doi.org/10.1007/s10509-013-1524-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1524-0