scholarly journals Asymptotically flat radiating solutions in third order Lovelock gravity

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
M. H. Dehghani ◽  
N. Farhangkhah
2008 ◽  
Vol 665 (4) ◽  
pp. 125-130 ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
M. Halilsoy

2011 ◽  
Vol 20 (12) ◽  
pp. 2317-2335 ◽  
Author(s):  
KANG ZHOU ◽  
ZHAN-YING YANG ◽  
DE-CHENG ZOU ◽  
RUI-HONG YUE

We investigate the spherically symmetric gravitational collapse of an incoherent dust cloud by considering a LTB-type spacetime in third-order Lovelock Gravity without cosmological constant, and give three families of LTB-like solutions which separately corresponding to hyperbolic, parabolic and elliptic. Notice that the contribution of high-order curvature corrections have a profound influence on the nature of the singularity, and the global structure of spacetime changes drastically from the analogous general relativistic case. Interestingly, the presence of high order Lovelock terms leads to the formation of massive, naked and timelike singularities in the 7D spacetime, which is disallowed in general relativity. Moveover, we point out that the naked singularities in the 7D case may be gravitational weak therefore may not be a serious threat to the cosmic censorship hypothesis, while the naked singularities in the D ≥ 8 inhomogeneous collapse violate the cosmic censorship hypothesis seriously.


Author(s):  
S. Danial Forghani ◽  
S. Habib Mazharimousavi ◽  
Mustafa Halilsoy

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Mohammad Reza Mehdizadeh ◽  
Mahdi Kord Zangeneh ◽  
Francisco S. N. Lobo

2009 ◽  
Vol 18 (13) ◽  
pp. 2061-2082 ◽  
Author(s):  
S. HABIB MAZHARIMOUSAVI ◽  
O. GURTUG ◽  
M. HALILSOY

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.


2013 ◽  
Vol 87 (8) ◽  
Author(s):  
De-Cheng Zou ◽  
Shao-Jun Zhang ◽  
Bin Wang

2011 ◽  
Vol 43 (8) ◽  
pp. 2103-2114 ◽  
Author(s):  
Ruihong Yue ◽  
Decheng Zou ◽  
Tianyi Yu ◽  
Peng Li ◽  
Zhanying Yang

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