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Change in Mass of Spinning Black Holes w.r.t. the Angular Momentum

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Journal of Modern Physics 2018年第5期9卷 1037-1042页

作者： dipo mahto Anuradha Kumari Department of Physics Marwari College T. M. B. University Bhagalpur India Department of Physics T. M. B. University Bhagalpur India

mahto et al. have shown δS≥0 and M2=a*J by using the first law of the black hole mechanics in the vacuum and Einstein mass-energy equivalence relation specially for spinning black holes. In the present paper, this work is extended to propose a model for the change in mass of the spinning black holes due to corresponding change in the angular momentum for maximum & half spin parameter of black holes (a* = 1 & 1/2) and calculated their values for different test black holes in XRBs and AGN. We have also shown that the change in mass of the spinning black holes due to corresponding change in the angular momentum for maximum spinning rate of black holes (a* = 1) is double to that of the spinning black holes having spinning parameter (a* = 1/2).

关键词： Spinning Black Holes Angular Momentum Spinning Parameter

Change in Internal Energy and Enthalpy of Spinning Black Hole with Half Spin Parameter in XRBs

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International Journal of Astronomy and Astrophysics 2016年第3期6卷 328-333页

作者： dipo mahto Amresh Kumar Singh Niharika Kumari Department of Physics Marwari College Bhagalpur T. M. B. University Bhagalpur India Department of Physics T. M. B. University Bhagalpur India

mahto et al. gave an expression for the change in enthalpy and internal energy with corresponding change in the radius of the event horizon of black holes of spin parameter a* = 1 (2013). On the basis of this research work, we have proposed an expression for the change in the internal energy and enthalpy of the spinning black holes to assume spin parameter a* = 1/2 and calculated their values for different test spinning black holes existing in XRBs.

关键词： Enthalpy Spinning Black Holes Internal Energy

Change in Entropy of Spinning Black Holes Due to Corresponding Change in Mass in AGN

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Journal of Applied Mathematics and Physics 2018年第8期6卷 1686-1691页

作者： Anuradha Kumari Supriya Kumari dipo mahto Department of Physics T. M. B. University Bhagalpur India Department of Physics Marwari College T. M. B. University Bhagalpur India

The present paper discusses the change in entropy of spinning black holes due to change in mass for AGN black holes on the basis of the model as proposed in the case of XRBs under condition that the black holes spin with unit spinning parameter and angular momentum and this model gives slightly some different nature of the super-massive spinning black holes in AGN as specified for XRBs.

关键词： Entropy Change Angular Velocity Spin Parameter

Change in Internal Energy and Enthalpy of Spinning Black Holes in XRBs and AGN Using Spin Parameter a* = 0.9

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International Journal of Astronomy and Astrophysics 2017年第1期7卷 38-44页

作者： dipo mahto Alok Ranjan Niharika Kumari Department of Physics Marwari College T. M. B. University Bhagalpur India Department of Physics T. M. B. University Bhagalpur India

In the present research work, we have proposed a model for the change in the internal energy and enthalpy of the spinning black holes using first law of black holes in the case of spin parameter a*=0.9 and calculated ... 详细信息

关键词： Surface Gravity Enthalpy Spinning Black Holes and AGN

Relativistic Variation of Black Hole Temperature with Respect to Velocity in XRBs and AGN

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International Journal of Astronomy and Astrophysics 2017年第1期7卷 1-10页

作者： dipo mahto Alok Ranjan Krishna Murari Singh Department of Physics Marwari College T. M. B. University Bhagalpur India Department of Physics T. M. B. University Bhagalpur India

Stephen Hawking gave a formula for the temperature of black holes as given by . Some of the black holes have their spinning velocity from 50% to 99% of the velocity of light. Due to this velocity, the mass of black holes will vary which cause the variation in the temperature of black holes. In the present research article, we have applied the variation of mass with velocity to obtain the rate of change in temperature of the black holes with respect to velocity. We have also calculated their values for super dense stars like black holes existing in XRBs and AGN and concluded that for super dense stars like black holes of lower velocity as well as the velocity comparable to the velocity of light, the rate of change in temperature with respect to velocity is directly proportional to their velocities. This work will help us to find out the variation in temperature of different black holes spinning with different velocity percentage related to light speed and can be used as the references for other research works.

关键词： Hawking Temperature Black Holes XRBs AGN

Change in Energy of Non-Spinning Black Holes w.r.t. the Change in Mass

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International Journal of Astronomy and Astrophysics 2013年第1期3卷 49-56页

作者： dipo mahto Rama Nand Mehta Neeraj Pant Raj Kumar Sah Department of Mathematics N. D. A. Khadakwasala Pune India Department of Physics Marwari College T. M. B. U. Bhagalpur India Department of Physics S. S. V. College Kahalgaon T. M. B. U. Bhagalpur India University Department of Mathematics T. M. B. U. Bhagalpur India

The present work discusses the derivation of the formula for the change in energy of non-spinning black holes with respect to the change in mass (dE/dM), which gives a constant quantity equal to 8.9998 x 1016 Joule/kg in both categories of X-ray binaries (XRBs) and Active Galactic Nuclei (AGN). This formula can be used to justify the life time of black hole given by Γ = 2.098(M/Mο)3 x 1067 years as proposed by Stephen Hawking, where M and Mο are the mass of the black hole and the sun respectively. The authors also calculate the change in energy and mass of non-spinning black holes with respect to the change in the radius of event horizon as well as (dE/dM) for different test non-spinning black holes in X-ray binaries (XRBs) and Active Galactic Nuclei (AGN).

关键词： Life Time XRBs AGN Energy

Gravitational Force between the Black Hole &Light Particle in AGN

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Journal of Modern Physics 2013年第11期4卷 1524-1529页

作者： Md Shams Nadeem dipo mahto Kumari Vineeta Jayprakash Yadav Mahendra Ram Department of Education Sunderwati Mahila College Bhagalpur India Department of Physics Bhagalpur College of Engineering Bhagalpur India Department of Physics G. L. A. College Daltanganj India Department of Physics Marwari College Tilka Manjhi Bhagalpur University Bhagalpur India University Department of Physics Tilka Manjhi Bhagalpur University Bhagalpur India

In this research paper, we have used the formula for gravitational force acting between the black hole and light particle passing near the radius of event horizon of black holes (mahto et al. 2013) to calculate their values for different test of black holes existing in Active Galactic Nuclei (AGN) and compared with that of the black holes in XRBs.

关键词： Gravitational Force Event Horizon Singularity and AGN

Entropy Change of Non-Spinning Black Holes w.r.t. the Radius of Event Horizon in AGN

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Journal of Modern Physics 2013年第3期4卷 321-326页

作者： dipo mahto Md. Shams Nadeem Umakant Prasad Abhay Kumar K. M. Singh Department of Physics A. K. Gopalan College Sultanganj India Department of Physics Marwari College Tilka Manjhi Bhagalpur University Bhagalpur India Department of Physics T. N. B. College Tilka Manjhi Bhagalpur University Bhagalpur India Department of Physics Tilka Manjhi Bhagalpur University Bhagalpur India

In this research paper, we have used the formula for the change in entropy of Non-spinning black holes with respect to the change in the radius of event horizon (mahto et al. 2012) and entropy of black holes (Hawking 1973 & mahto et al. 2012) to calculate their values in Active Galactic Nuclei (AGN) which shows that the variation of change in entropy of black holes with respect to the radius of the event horizon/entropy of black holes with increasing the values of the radius of the event horizon of different test Non-spinning black holes are like a wave-pattern.

关键词： Radius of Event-Horizon AGN Entropy