Timelike geodesics in naked singularity and black hole spacetimes

被引:57
作者
Bambhaniya, Parth [1 ]
Joshi, Ashok B. [1 ]
Dey, Dipanjan [1 ]
Josh, Pankaj S. [1 ]
机构
[1] Charusat Univ, Int Ctr Cosmol, Anand 388421, Gujarat, India
关键词
FINAL FATE; COLLAPSE; ORBITS; STARS;
D O I
10.1103/PhysRevD.100.124020
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper, we derive the solutions of orbit equations for a class of naked singularity spacetimes and compare these with timelike orbits, that is, particle trajectories in the Schwarzschild black hole spacetime. We find and compare the perihelion precession of particle orbits in the naked singularity spacetimes with that of a Schwarzschild black hole. We then discuss different distinguishable physical properties of timelike orbits in the black hole and naked singularity geometries, and implications are discussed. Several interesting differences emerge from our results, including the conclusion that in naked singularity spacetimes particle bound orbits can precess in the opposite direction of particle motion, which is not possible in Schwarzschild spacetime. Such reverse precession and other distinctions may help distinguish a naked singularity from a black hole observationally.
引用
收藏
页数:21
相关论文
共 51 条
[1]   Detection of orbital motions near the last stable circular orbit of the massive black hole SgrA* [J].
Abuter, R. ;
Amorim, A. ;
Bauboeck, M. ;
Berger, J. P. ;
Bonnet, H. ;
Brandner, W. ;
Clenet, Y. ;
du Foresto, V. Coude ;
de Zeeuw, P. T. ;
Deen, C. ;
Dexter, J. ;
Duvert, G. ;
Eckart, A. ;
Eisenhauer, F. ;
Schreiber, N. M. Forster ;
Garcia, P. ;
Gao, F. ;
Gendron, E. ;
Genzel, R. ;
Gillessen, S. ;
Guajardo, P. ;
Habibi, M. ;
Haubois, X. ;
Henning, Th. ;
Hippler, S. ;
Horrobin, M. ;
Huber, A. ;
Jimenez-Rosales, A. ;
Jocou, L. ;
Kervella, P. ;
Lacour, S. ;
Lapeyrere, V. ;
Lazareff, B. ;
Le Bouquin, J. -B. ;
Lena, P. ;
Lippa, M. ;
Ott, T. ;
Panduro, J. ;
Paumard, T. ;
Perraut, K. ;
Perrin, G. ;
Pfuhl, O. ;
Plewa, P. M. ;
Rabien, S. ;
Rodriguez-Coira, G. ;
Rousset, G. ;
Sternberg, A. ;
Straub, O. ;
Straubmeier, C. ;
Sturm, E. .
ASTRONOMY & ASTROPHYSICS, 2018, 618
[2]   First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring [J].
Akiyama, Kazunori ;
Alberdi, Antxon ;
Alef, Walter ;
Asada, Keiichi ;
Azulay, Rebecca ;
Baczko, Anne-Kathrin ;
Ball, David ;
Balokovic, Mislav ;
Barrett, John ;
Bintley, Dan ;
Blackburn, Lindy ;
Boland, Wilfred ;
Bouman, Katherine L. ;
Bower, Geoffrey C. ;
Bremer, Michael ;
Brinkerink, Christiaan D. ;
Brissenden, Roger ;
Britzen, Silke ;
Broderick, Avery E. ;
Broguiere, Dominique ;
Bronzwaer, Thomas ;
Byun, Do-Young ;
Carlstrom, John E. ;
Chael, Andrew ;
Chan, Chi-kwan ;
Chatterjee, Shami ;
Chatterjee, Koushik ;
Chen, Ming-Tang ;
Chen, Yongjun ;
Cho, Ilje ;
Christian, Pierre ;
Conway, John E. ;
Cordes, James M. ;
Crew, Geoffrey B. ;
Cui, Yuzhu ;
Davelaar, Jordy ;
De Laurentis, Mariafelicia ;
Deane, Roger ;
Dempsey, Jessica ;
Desvignes, Gregory ;
Dexter, Jason ;
Doeleman, Sheperd S. ;
Eatough, Ralph P. ;
Falcke, Heino ;
Fish, Vincent L. ;
Fomalont, Ed ;
Fraga-Encinas, Raquel ;
Friberg, Per ;
Fromm, Christian M. ;
Gomez, Jose L. .
ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)
[3]   Self-gravitating fluid systems and galactic dark matter [J].
Banik, Uddipan ;
Dey, Dipanjan ;
Bhattacharya, Kaushik ;
Sarkar, Tapobrata .
GENERAL RELATIVITY AND GRAVITATION, 2017, 49 (09)
[4]   Constraints on Rn gravity from precession of orbits of S2-like stars [J].
Borka, D. ;
Jovanovic, P. ;
Jovanovic, V. Borka ;
Zakharov, A. F. .
PHYSICAL REVIEW D, 2012, 85 (12)
[5]  
Chu DS, 2018, ASTROPHYS J, V863, DOI 10.3847/1538-4357/aad734
[6]   Geodesic flows in rotating black hole backgrounds [J].
Dasgupta, Anirvan ;
Nandan, Hemwati ;
Kar, Sayan .
PHYSICAL REVIEW D, 2012, 85 (10)
[7]   About a Class of Solutions of the Gravitational Equations of Relativity [J].
Datt, B. .
ZEITSCHRIFT FUR PHYSIK, 1938, 108 (5-6) :314-321
[8]  
Dey D., arXiv
[9]   Gravitational collapse of baryonic and dark matter [J].
Dey, Dipanjan ;
Joshi, Pankaj S. .
ARABIAN JOURNAL OF MATHEMATICS, 2019, 8 (04) :269-292
[10]   Astrophysics of Bertrand space-times [J].
Dey, Dipanjan ;
Bhattacharya, Kaushik ;
Sarkar, Tapobrata .
PHYSICAL REVIEW D, 2013, 88 (08)