Galactic Stellar Black Hole Binaries: Spin Effects on Jet Emissions of High-Energy Gamma-Rays
Abstract
:1. Introduction
2. Background—Description of the Model
2.1. Kerr
2.2. Main Reactions Inside the Jets
2.3. The Transfer Equation
2.4. Gamma-Ray Source Function
2.5. Intensities and Integral Fluxes
2.6. Absorption from the Accretion Disk
3. Results and Discussion
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
BHXRB | Black Hole X-ray Binary |
Radius of the Innermost Stable Circular Orbit |
References
- Schee, J.; Stuchlík, Z. Profiles of emission lines generated by rings orbiting braneworld Kerr black holes. Gen. Relativ. Gravit. 2009, 41, 1795–1818. [Google Scholar] [CrossRef]
- Bambi, C. Testing the space-time geometry around black hole candidates with the analysis of the broad K α iron line. Phys. Rev. 2013, 87, 023007. [Google Scholar]
- Bambi, C. Broad K α iron line from accretion disks around traversable wormholes. Phys. Rev. 2013, 87, 084039. [Google Scholar]
- Johannsen, T.; Psaltis, D. Testing the no-hair theorem with observations in the electromagnetic spectrum. IV. Relativistically broadened iron lines. Astrophys. J. 2013, 773, 57. [Google Scholar] [CrossRef]
- Jiang, J.; Bambi, C.; Steiner, J.F. Testing the Kerr nature of black hole candidates using iron line spectra in the CPR framework. Astrophys. J. 2015, 811, 130. [Google Scholar] [CrossRef]
- Ni, Y.; Zhou, M.; Cardenas-Avendano, A.; Bambi, C.; Herdeiro, C.A.; Radu, E. Iron Kα line of Kerr black holes with scalar hair. J. Cosmol. Astropart. Phys. 2016, 2016, 049. [Google Scholar] [CrossRef]
- Zhou, M.; Cardenas-Avendano, A.; Bambi, C.; Kleihaus, B.; Kunz, J. Search for astrophysical rotating Ellis wormholes with X-ray reflection spectroscopy. Phys. Rev. D 2016, 94, 024036. [Google Scholar] [CrossRef]
- Bambi, C.; Abdikamalov, A.B.; Ayzenberg, D.; Cao, Z.; Liu, H.; Nampalliwar, S.; Tripathi, A.; Wang-Ji, J.; Xu, Y. relxill_nk: A Relativistic Reflection Model for Testing Einstein’s Gravity. Universe 2018, 4, 79. [Google Scholar] [CrossRef]
- Zhang, Y.; Abdikamalov, A.B.; Ayzenberg, D.; Bambi, C.; Dauser, T.; García, J.A.; Nampalliwar, S. About the Kerr Nature of the Stellar-mass Black Hole in GRS 1915+105. Astrophys. J. 2019, 875, 41. [Google Scholar]
- Kerr, R.P. Gravitational field of a spinning mass as an example of algebraically special metrics. Phys. Rev. Lett. 1963, 11, 237. [Google Scholar] [CrossRef]
- Romero, G.E.; Vila, G.S. Introduction to Black Hole Astrophysics; Springer: Berlin/Heidelberg, Germany, 2013; Volume 876. [Google Scholar]
- Newman, E.T.; Couch, E.; Chinnapared, K.; Exton, A.; Prakash, A.; Torrence, R. Metric of a rotating, charged mass. J. Math. Phys. 1965, 6, 918–919. [Google Scholar] [CrossRef]
- McClintock, J.E.; Narayan, R.; Davis, S.W.; Gou, L.; Kulkarni, A.; Orosz, J.A.; Penna, R.F.; Remillard, R.A.; Steiner, J.F. Measuring the spins of accreting black holes. Class. Quantum Gravity 2011, 28, 114009. [Google Scholar] [CrossRef]
- Papavasileiou, T.V.; Kosmas, O.T.; Sinatkas, I. Prediction of gamma-ray emission from Cygnus X-1, SS 433, and GRS 1915+105 after absorption. Astron. Astrophys. 2023, 673, A162. [Google Scholar] [CrossRef]
- Papavasileiou, T.V.; Kosmas, O.T.; Sinatkas, I. Studying the Spectral Energy Distributions Emanating from Regular Galactic XRBs. Universe 2023, 9, 312. [Google Scholar] [CrossRef]
- Kosmas, O.T.; Papavasileiou, T.V.; Kosmas, T.S. Integral Fluxes of Neutrinos and Gamma-Rays Emitted from Neighboring X-ray Binaries. Universe 2023, 9, 517. [Google Scholar] [CrossRef]
- Hobson, M.P.; Efstathiou, G.P.; Lasenby, A.N. General Relativity: An Introduction for Physicists; Cambridge University Press: New York, NY, USA, 2006; pp. 310–354. [Google Scholar]
- Bardeen, J.M.; Press, W.H.; Teukolsky, S.A. Rotating black holes: Locally nonrotating frames, energy extraction, and scalar synchrotron radiation. Astrophys. J. 1972, 178, 347–370. [Google Scholar] [CrossRef]
- Böttcher, M.; Dermer, C.D. Photon-Photon Absorption of Very High Energy Gamma Rays from Microquasars: Application to LS 5039. Astrophys. J. 2005, 634, L81–L84. [Google Scholar] [CrossRef]
- Cerutti, B.; Dubus, G.; Malzac, J.; Szostek, A.; Belmont, R.; Zdziarski, A.A.; Henri, G. Absorption of high-energy gamma rays in Cygnus X-3. Astron. Astrophys. 2011, 529, A120. [Google Scholar] [CrossRef]
- Romero, G.E.; Vila, G.S. The proton low-mass microquasar: High-energy emission. Astron. Astrophys. 2008, 485, 623–631. [Google Scholar] [CrossRef]
- Mannheim, K.; Schlickeiser, R. Interactions of cosmic ray nuclei. Astron. Astrophys. 1994, 286, 983–996. [Google Scholar]
- Smponias, T.; Kosmas, O.T. Neutrino Emission from Magnetized Microquasar Jets. Adv. High Energy Phys. 2017, 2017, 4962741. [Google Scholar] [CrossRef]
- Romero, G.E.; Torres, D.F.; Kaufman Bernadó, M.M.; Mirabel, I.F. Hadronic gamma-ray emission from windy microquasars. Astron. Astrophys. 2003, 410, L1–L4. [Google Scholar] [CrossRef]
- Zhang, J.F.; Li, Z.R.; Xiang, F.Y.; Lu, J.F. Electron transport with re-acceleration and radiation in the jets of X-ray binaries. Mon. Not. R. Astron. Soc. 2017, 473, 3211–3222. [Google Scholar] [CrossRef]
- Kosmas, O.T.; Leyendecker, S. Phase lag analysis of variational integrators using interpolation techniques. PAMM Proc. Appl. Math. Mech. 2012, 12, 677–678. [Google Scholar]
- Kosmas, O.T.; Leyendecker, S. Family of high order exponential variational integrators for split potential systems. J. Phys. Conf. Ser. 2015, 574, 012002. [Google Scholar] [CrossRef]
- Kosmas, O.T.; Vlachos, D.S. A space-time geodesic approach for phase fitted variational integrators. Phys. Conf. Ser. 2016, 738, 012133. [Google Scholar] [CrossRef]
- Kantzas, D.; Markoff, S.; Beuchert, T.; Lucchini, M.; Chhotray, A.; Ceccobello, C.; Tetarenko, A.J.; Miller-Jones, J.C.A.; Bremer, M.; Garcia, J.A.; et al. A new lepto-hadronic model applied to the first simultaneous multiwavelength data set for Cygnus X–1. Mon. Not. R. Astron. Soc. 2021, 500, 2112–2126. [Google Scholar] [CrossRef]
- Carulli, A.M.; Reynoso, M.M.; Romero, G.E. Neutrino production in Population III microquasars. Astropart. Phys. 2021, 128, 102557. [Google Scholar] [CrossRef]
- Papavasileiou, T.; Kosmas, O.; Sinatkas, I. Simulations of Neutrino and Gamma-Ray Production from Relativistic Black-Hole Microquasar Jets. Galaxies 2021, 9, 67. [Google Scholar] [CrossRef]
- Papavasileiou, T.; Kosmas, O.; Sinatkas, I. Relativistic Magnetized Astrophysical Plasma Outflows in Black-Hole Microquasars. Symmetry 2022, 14, 485. [Google Scholar] [CrossRef]
- Kelner, S.R.; Aharonian, F.A.; Bugayov, V.V. Energy spectra of gamma rays, electrons, and neutrinos produced at proton-proton interactions in the very high energy regime. Phys. Rev. D 2006, 74, 034018. [Google Scholar] [CrossRef]
- Smponias, T.; Kosmas, O.T. High Energy Neutrino Emission from Astrophysical Jets in the Galaxy. Adv. High Energy Phys. 2015, 2015, 921757. [Google Scholar] [CrossRef]
- Kosmas, O.; Smponias, T. Simulations of Gamma-Ray Emission from Magnetized Microquasar Jets. J. Adv. High Energy Phys. 2018, 2018, 9602960. [Google Scholar] [CrossRef]
- Reynoso, M.M.; Romero, G.E.; Christiansen, H.R. Production of gamma rays and neutrinos in the dark jets of the microquasar SS433. Mon. Not. R. Astron. Soc. 2008, 387, 1745–1754. [Google Scholar] [CrossRef]
- Reynoso, M.M.; Romero, G.E. Magnetic field effects on neutrino production in microquasars. Astron. Astrophys. 2009, 493, 1–111. [Google Scholar] [CrossRef]
- Shakura, N.I.; Sunyaev, R.S. Black holes in binary systems. Observational appearance. Astron. Astrophys. 1973, 24, 337–355. [Google Scholar]
- Gould, R.J.; Schréder, G.P. Pair production in photon-photon collisions. Phys. Rev. 1967, 155, 1404. [Google Scholar] [CrossRef]
- Paczynsky, B.; Wiita, P.J. Thick accretion disks and supercritical luminosities. Astron. Astrophys. 1980, 88, 23–31. [Google Scholar]
- Gierliński, M.; Zdziarski, A.A.; Poutanen, J.; Coppi, P.S.; Ebisawa, K.; Johnson, W.N. Radiation mechanisms and geometry of Cygnus X-1 in the soft state. Mon. Not. R. Astron. Soc. 1999, 309, 492–512. [Google Scholar] [CrossRef]
- Mukhopadhyay, B. Description of pseudo-Newtonian potential for the relativistic accretion disks around Kerr black holes. Astrophys. J. 2002, 581, 427. [Google Scholar] [CrossRef]
- Papavasileiou, T.V.; Kosmas, O.; Kosmas, T.S. A direct method for reproducing fully relativistic spectra from standard accretion disks by modifying their inner boundary. arXiv 2024, arXiv:2408.02415. [Google Scholar]
- Rarras, D.; Kosmas, O.; Papavasileiou, T.; Kosmas, T. Black Hole’s Spin-Dependence of γ-ray and Neutrino Emissions from MAXI J1820+070, XTE J1550-564, and XTE J1859+226. Particles 2024. to be published. [Google Scholar]
- Blumenthal, G.R.; Gould, R.J. Bremsstrahlung, synchrotron radiation, and compton scattering of high-energy electrons traversing dilute gases. Rev. Mod. Phys. 1970, 42, 237. [Google Scholar] [CrossRef]
- Torres, M.A.P.; Casares, J.; Jiménez-Ibarra, F.; Álvarez-Hernández, A.; Muñoz-Darias, T.; Padilla, M.A.; Jonker, P.G.; Heida, M. The binary mass ratio in the black hole transient MAXI J1820+070. Astrophys. J. Lett. 2020, 893, L37. [Google Scholar] [CrossRef]
- Mikołajewska, J.; Zdziarski, A.A.; Ziółkowski, J.; Torres, M.A.; Casares, J. The Donor of the Black Hole X-ray Binary MAXI J1820+070. Astrophys. J. 2022, 930, 9. [Google Scholar] [CrossRef]
- Poutanen, J.; Veledina, A.; Berdyugin, A.V.; Berdyugina, S.V.; Jermak, H.; Jonker, P.G.; Kajava, J.J.E.; Kosenkov, I.A.; Kravtsov, V.; Piirola, V.; et al. Black hole spin–orbit misalignment in the X-ray binary MAXI J1820+070. Science 2022, 375, 874–876. [Google Scholar] [CrossRef]
- Kalogera, V. Spin-orbit misalignment in close binaries with two compact objects. Astrophys. J. 2000, 541, 319. [Google Scholar] [CrossRef]
- Atri, P.; Miller-Jones, J.C.A.; Bahramian, A.; Plotkin, R.M.; Deller, A.T.; Jonker, P.G.; Maccarone, T.J.; Sivakoff, G.R.; Soria, R.; Altamirano, D.; et al. A radio parallax to the black hole X-ray binary MAXI J1820+070. Mon. Not. R. Astron. Soc. Lett. 2020, 493, L81–L86. [Google Scholar] [CrossRef]
- Zdziarski, A.A.; Tetarenko, A.J.; Sikora, M. Jet Parameters in the Black Hole X-ray Binary MAXI J1820+070. Astrophys. J. 2022, 925, 189. [Google Scholar] [CrossRef]
- Zhao, X.; Gou, L.; Dong, Y.; Tuo, Y.; Liao, Z.; Li, Y.; Jia, N.; Feng, Y.; Steiner, J.F. Estimating the black hole spin for the X-ray binary MAXI J1820+070. Astrophys. J. 2021, 916, 108. [Google Scholar] [CrossRef]
- Draghis, P.A.; Miller, J.M.; Zoghbi, A.; Reynolds, M.; Costantini, E.; Gallo, L.C.; Tomsick, J.A. A systematic view of ten new black hole spins. Astrophys. J. 2023, 945, 19. [Google Scholar] [CrossRef]
- Bhargava, Y.; Belloni, T.; Bhattacharya, D.; Motta, S.; Ponti, G. A timing-based estimate of the spin of the black hole in MAXI J1820+070. Mon. Not. R. Astron. Soc. 2021, 508, 3104–3110. [Google Scholar] [CrossRef]
- Orosz, J.A.; Steiner, J.F.; McClintock, J.E.; Torres, M.A.; Remillard, R.A.; Bailyn, C.D.; Miller, J.M. An improved dynamical model for the microquasar XTE J1550-564. Astrophys. J. 2011, 730, 75. [Google Scholar] [CrossRef]
- Miller-Jones, J.C.A.; Fender, R.P.; Nakar, E. Opening angles, Lorentz factors and confinement of X-ray binary jets. Mon. Not. R. Astron. Soc. 2006, 367, 1432–1440. [Google Scholar] [CrossRef]
- Motta, S.E.; Munoz-Darias, T.; Sanna, A.; Fender, R.; Belloni, T.; Stella, L. Black hole spin measurements through the relativistic precession model: XTE J1550-564. Mon. Not. R. Astron. Soc. Lett. 2014, 439, L56–L69. [Google Scholar] [CrossRef]
- Steiner, J.F.; Reis, R.C.; McClintock, J.E.; Narayan, R.; Remillard, R.A.; Orosz, J.A.; Gou, L.; Fabian, A.C.; Torres, M.A.P. The spin of the black hole microquasar XTE J1550-564 via the continuum-fitting and Fe-line methods. Mon. Not. R. Astron. Soc. 2011, 416, 941–958. [Google Scholar] [CrossRef]
- Kaaret, P.; Corbel, S.; Tomsick, J.A.; Fender, R.; Miller, J.M.; Orosz, J.A. Tzioumis, A.K.; Wijnands, R. X-ray Emission from the Jets of XTE J1550-564. Astrophys. J. 2003, 582, 945. [Google Scholar] [CrossRef]
- Nandi, A.; Mandal, S.; Sreehari, H.; Radhika, D.; Das, S.; Chattopadhyay, I.; Iyer, N.; Agrawal, V.K.; Aktar, R. Accretion flow dynamics during 1999 outburst of XTE J1859+ 226-modeling of broadband spectra and constraining the source mass. Astrophys. Space Sci. 2018, 363, 1–12. [Google Scholar] [CrossRef]
- Kimura, M.; Done, C. Evolution of X-ray irradiation during the 1999–2000 outburst of the black hole binary XTE J1859+ 226. Mon. Not. R. Astron. Soc. 2019, 482, 626–638. [Google Scholar] [CrossRef]
- Yanes-Rizo, I.V.; Torres, M.A.P.; Casares, J.; Motta, S.E.; Muñoz-Darias, T.; Rodríguez-Gil, P.; Armas Padilla, M.; Jiménez-Ibarra, F.; Jonker, P.G.; Corral-Santana, J.M.; et al. A refined dynamical mass for the black hole in the X-ray transient XTE J1859+ 226. Mon. Not. R. Astron. Soc. 2022, 517, 1476–1482. [Google Scholar] [CrossRef]
- Motta, S.E.; Belloni, T.; Stella, L.; Pappas, G.; Casares, J.; Muñoz-Darias, A.T.; Torres, M.A.P.; Yanes-Rizo, I.V. Black hole mass and spin measurements through the relativistic precession model: XTE J1859+ 226. Mon. Not. R. Astron. Soc. 2022, 517, 1469–1475. [Google Scholar] [CrossRef]
BHXRB Parameter | Symbol (Units) | Value |
---|---|---|
Black hole mass | 20 | |
Donor star mass | 15 | |
Distance to Earth | 2 | |
Donor star luminosity | ||
Donor star temperature | 10,000 | |
Jet’s inclination | 30 | |
Jet’s Lorentz factor | ||
Jet’s half-opening angle | ||
Black hole’s spin parameter | ||
Mass accretion rate | 0.07 | |
Jet’s emitting region height | ||
Seperation distance of the system |
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Rarras, D.; Kosmas, T.; Papavasileiou, T.; Kosmas, O. Galactic Stellar Black Hole Binaries: Spin Effects on Jet Emissions of High-Energy Gamma-Rays. Particles 2024, 7, 792-804. https://doi.org/10.3390/particles7030046
Rarras D, Kosmas T, Papavasileiou T, Kosmas O. Galactic Stellar Black Hole Binaries: Spin Effects on Jet Emissions of High-Energy Gamma-Rays. Particles. 2024; 7(3):792-804. https://doi.org/10.3390/particles7030046
Chicago/Turabian StyleRarras, Dimitrios, Theocharis Kosmas, Theodora Papavasileiou, and Odysseas Kosmas. 2024. "Galactic Stellar Black Hole Binaries: Spin Effects on Jet Emissions of High-Energy Gamma-Rays" Particles 7, no. 3: 792-804. https://doi.org/10.3390/particles7030046