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 Higher-dimensional particle model in third-order Lovelock gravity

2020 ◽  
Vol 135 (7) ◽  
Author(s):  
S. Danial Forghani ◽  
S. Habib Mazharimousavi ◽  
Mustafa Halilsoy
Keyword(s):  
Particle Model ◽  
Lovelock Gravity ◽  
Third Order ◽  
Higher Dimensional

scholarly journals Higher-dimensional thin-shell wormholes in third-order Lovelock gravity

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Mohammad Reza Mehdizadeh ◽  
Mahdi Kord Zangeneh ◽  
Francisco S. N. Lobo
Keyword(s):  
Thin Shell ◽  
Lovelock Gravity ◽  
Third Order ◽  
Higher Dimensional ◽  
Thin Shell Wormholes

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 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.

Ehrenfest scheme of higher dimensional AdS black holes in the third-order Lovelock–Born–Infeld gravity

2015 ◽  
Vol 12 (10) ◽  
pp. 1550115 ◽  
Author(s):  
A. Belhaj ◽  
M. Chabab ◽  
H. EL Moumni ◽  
K. Masmar ◽  
M. B. Sedra
Keyword(s):  
Black Holes ◽  
Critical Points ◽  
Space Dimension ◽  
Second Phase ◽  
Third Order ◽  
The Third ◽  
Ads Black Holes ◽  
Higher Dimensional ◽  
Number Formula ◽  
Thermodynamic Pressure

Interpreting the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the investigation of P–V critical behaviors of (1 + n)-dimensional AdS black holes in Lovelock–Born–Infeld gravity. In particular, we derive an explicit expression of the universal number [Formula: see text] in terms of the space dimension n. Then, we examine the phase transitions at the critical points of such black holes for 6 ≤ n < 11 as required by the physical condition of the thermodynamical quantities including criticality behaviors. More precisely, the Ehrenfest equations have been checked and they reveal that the black hole system undergoes a second phase transition at the critical points.

Geometrodynamics of Lovelock black holes

2013 ◽  
Vol 91 (6) ◽  
pp. 461-462
Author(s):  
Gabor Kunstatter
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Fast Track ◽  
Mass Function ◽  
Spherically Symmetric ◽  
Hole Formation ◽  
Lovelock Gravity ◽  
Higher Dimensional ◽  
Classical Quantum

Lovelock gravity is arguably the most natural higher curvature, higher dimensional generalization of Einstein's theory of gravity. As shown in a previous paper (Kunstatter et al. arXiv:1210.1566; Kunstatter et al. Classical Quantum Gravity, 29, 092001 (2012) (Fast Track); arXiv:1201.4904.), the Hamiltonian for spherically symmetric Lovelock gravity is as simple as that of general relativity when written in terms of geometrodynamical variables (i.e., the areal radius and mass function). This result paves the way to the study of critical phenomena in black hole formation and the quantum mechanics of Lovelock black holes.

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