scholarly journals Thermodynamics of asymptotically flat charged black holes in third order Lovelock gravity

2005 ◽  
Vol 72 (12) ◽  
Author(s):  
M. H. Dehghani ◽  
M. Shamirzaie
Keyword(s):  
Black Holes ◽  
Lovelock Gravity ◽  
Third Order ◽  
Asymptotically Flat ◽  
Charged Black Holes

scholarly journals Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity

2011 ◽  
Vol 43 (8) ◽  
pp. 2103-2114 ◽  
Author(s):  
Ruihong Yue ◽  
Decheng Zou ◽  
Tianyi Yu ◽  
Peng Li ◽  
Zhanying Yang
Keyword(s):  
Black Holes ◽  
De Sitter ◽  
Lovelock Gravity ◽  
Third Order ◽  
Charged Black Holes

scholarly journals Total Energy of Charged Black Holes in Einstein-Maxwell-Dilaton-Axion Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Murat Korunur ◽  
Irfan Açıkgöz
Keyword(s):  
Black Holes ◽  
Total Energy ◽  
Energy Content ◽  
Teleparallel Gravity ◽  
The Other ◽  
Energy Distributions ◽  
Asymptotically Flat ◽  
Charged Black Holes ◽  
Momentum Complex ◽  
Limiting Case

We focus on the energy content (including matter and fields) of the Møller energy-momentum complex in the framework of Einstein-Maxwell-Dilaton-Axion (EMDA) theory using teleparallel gravity. We perform the required calculations for some specific charged black hole models, and we find that total energy distributions associated with asymptotically flat black holes are proportional to the gravitational mass. On the other hand, we see that the energy of the asymptotically nonflat black holes diverge in a limiting case.

scholarly journals Higher dimensional Yang–Mills black holes in third order Lovelock gravity

2008 ◽  
Vol 665 (4) ◽  
pp. 125-130 ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
M. Halilsoy
Keyword(s):  
Black Holes ◽  
Lovelock Gravity ◽  
Third Order ◽  
Yang Mills ◽  
Higher Dimensional

scholarly journals GENERATING STATIC, SPHERICALLY SYMMETRIC BLACK HOLES IN LOVELOCK GRAVITY

2009 ◽  
Vol 18 (13) ◽  
pp. 2061-2082 ◽  
Author(s):  
S. HABIB MAZHARIMOUSAVI ◽  
O. GURTUG ◽  
M. HALILSOY
Keyword(s):  
Black Holes ◽  
Higher Dimensions ◽  
Matter Field ◽  
Spherically Symmetric ◽  
Lovelock Gravity ◽  
Third Order ◽  
Naked Singularities ◽  
Test Particles ◽  
Higher Dimensional ◽  
Symmetric Black Hole

We present the generalization of a known theorem to generate static, spherically symmetric black hole solutions in higher-dimensional Lovelock gravity. Particular limits such as Gauss–Bonnet (GB) and Einstein–Hilbert (EH) in any dimension N yield all the solutions known to date with an energy–momentum. In our generalization, with special emphasis on third order Lovelock gravity, we have found two different class of solutions characterized by the matter field parameter. Several particular cases are studied and properties related to asymptotic behaviors are discussed. Our general solution, which covers topological black holes as well, splits naturally into distinct classes such as Chern–Simon (CS) and Born–Infeld (BI) in higher-dimensions. The occurence of naked singularities is studied and it is found that the space–time behaves nonsingularly in the quantum-mechanical sense when it is probed with quantum test particles. The theorem is extended to cover Bertotti–Robinson (BR) type solutions in the presence of the GB parameter alone. Finally, we prove also that extension of the theorem for a scalar–tensor source of higher dimensions (N > 4) fails to work.

scholarly journals THE CARDY–VERLINDE FORMULA AND ASYMPTOTICALLY FLAT CHARGED BLACK HOLES

2001 ◽  
Vol 16 (19) ◽  
pp. 1263-1268 ◽  
Author(s):  
DONAM YOUM
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Casimir Effect ◽  
Higher Dimensions ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Temperature Relation ◽  
Asymptotically Flat ◽  
Charged Black Holes ◽  
Verlinde Formula

We show that the modified Cardy–Verlinde formula without the Casimir effect term is satisfied by asymptotically flat charged black holes in arbitrary dimensions. Thermodynamic quantities of the charged black holes are shown to satisfy the energy-temperature relation of a two-dimensional CFT, which supports the claim in our previous work (Phys. Rev.D61, 044013, hep-th/9910244) that thermodynamics of charged black holes in higher dimensions can be effectively described by two-dimensional theories. We also check the Cardy formula for the two-dimensional black hole compactified from a dilatonic charged black hole in higher dimensions.

scholarly journals Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces

2017 ◽  
Vol 26 (03) ◽  
pp. 1750017 ◽  
Author(s):  
Zeinab Sherkatghanad ◽  
Behrouz Mirza ◽  
Zahra Mirzaiyan ◽  
Seyed Ali Hosseini Mansoori
Keyword(s):  
Black Holes ◽  
Phase Transitions ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Lovelock Gravity ◽  
Third Order ◽  
Extended Phase ◽  
The Third ◽  
Ads Black Holes ◽  
Grand Canonical

We consider the critical behaviors and phase transitions of Gauss–Bonnet–Born–Infeld-AdS black holes (GB–BI-AdS) for [Formula: see text] and the extended phase space. We assume the cosmological constant, [Formula: see text], the coupling coefficient [Formula: see text], and the BI parameter [Formula: see text] to be thermodynamic pressures of the system. Having made these assumptions, the critical behaviors are then studied in the two canonical and grand canonical ensembles. We find “reentrant and triple point phase transitions” (RPT-TP) and “multiple reentrant phase transitions” (multiple RPT) with increasing pressure of the system for specific values of the coupling coefficient [Formula: see text] in the canonical ensemble. Also, we observe a reentrant phase transition (RPT) of GB–BI-AdS black holes in the grand canonical ensemble and for [Formula: see text]. These calculations are then expanded to the critical behavior of Born–Infeld-AdS (BI-AdS) black holes in the third-order of Lovelock gravity and in the grand canonical ensemble to find a van der Waals (vdW) behavior for [Formula: see text] and a RPT for [Formula: see text] for specific values of potential [Formula: see text] in the grand canonical ensemble. Furthermore, we obtain a similar behavior for the limit of [Formula: see text], i.e. charged-AdS black holes in the third-order of the Lovelock gravity. Thus, it is shown that the critical behaviors of these black holes are independent of the parameter [Formula: see text] in the grand canonical ensemble.

scholarly journals Particle Motion around Charged Black Holes in Generalized Dilaton-Axion Gravity

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Susmita Sarkar ◽  
Farook Rahaman ◽  
Irina Radinschi ◽  
Theophanes Grammenos ◽  
Joydeep Chakraborty
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Effective Potential ◽  
Particle Motion ◽  
Spherically Symmetric ◽  
Asymptotically Flat ◽  
Four Dimensions ◽  
Charged Black Holes ◽  
Test Particles ◽  
Massive Particles

The behaviour of massive and massless test particles around asymptotically flat and spherically symmetric, charged black holes in the context of generalized dilaton-axion gravity in four dimensions is studied. All the possible motions are investigated by calculating and plotting the corresponding effective potential for the massless and massive particles as well. Further, the motion of massive (charged or uncharged) test particles in the gravitational field of charged black holes in generalized dilaton-axion gravity for the cases of static and nonstatic equilibrium is investigated by applying the Hamilton-Jacobi approach.

scholarly journals Thermodynamic approach to field equations in Lovelock gravity and f(R) gravity revisited

2014 ◽  
Vol 23 (11) ◽  
pp. 1450093 ◽  
Author(s):  
Yan-Gang Miao ◽  
Fang-Fang Yuan ◽  
Zheng-Zheng Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gravitational Field ◽  
Black Hole Thermodynamics ◽  
Thermodynamic Approach ◽  
Field Equations ◽  
Lovelock Gravity ◽  
First Law Of Thermodynamics ◽  
Charged Black Holes ◽  
Gravitational Field Equations

The first law of thermodynamics at black hole horizons is known to be obtainable from the gravitational field equations. A recent study claims that the contributions at inner horizons should be considered in order to give the conventional first law of black hole thermodynamics. Following this method, we revisit the thermodynamic aspects of field equations in the Lovelock gravity and f(R) gravity by focusing on two typical classes of charged black holes in the two theories.

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