Higher-dimensional Einstein-Maxwell theory with inflation

1985 ◽  
Vol 32 (4) ◽  
pp. 1011-1013 ◽  
Author(s):  
Y. S. Myung ◽  
B. H. Cho ◽  
Yongduk Kim ◽  
Young-Jai Park
2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Nahomi Kan ◽  
Kiyoshi Shiraishi

We discuss the role of a particular combination of higher derivative terms in higher dimensional theories, particularly in the background of spontaneous compactification. Two classes of theories are proposed in this paper. The first model as a generalization of the critical gravity with the Maxwell field could have a de Sitter solution. We consider the Lanczos-Lovelock term and Horndeski term as well as the higher-order Maxwell term for the second model, which contains a possible longer expansion time for the inflationary phase. It is interesting that both models can be regarded as the generalization of the Randjbar-Daemi, Salam and Strathdee (RSS) model and give the well behavior for inflation stage under the specific assumptions.


2006 ◽  
Vol 38 (11) ◽  
pp. 1687-1695 ◽  
Author(s):  
F. Rahaman ◽  
M. Kalam ◽  
S. Chakraborty

Axioms ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 33 ◽  
Author(s):  
Grigoris Panotopoulos

We compute the quasinormal frequencies for scalar perturbations of charged black holes in five-dimensional Einstein-power-Maxwell theory. The impact on the spectrum of the electric charge of the black holes, of the angular degree, of the overtone number, and of the mass of the test scalar field is investigated in detail. The quasinormal spectra in the eikonal limit are computed as well for several different space-time dimensionalities.


Author(s):  
James Lucietti

AbstractWe prove that the only asymptotically flat spacetimes with a suitably regular event horizon, in a generalised Majumdar–Papapetrou class of solutions to higher-dimensional Einstein–Maxwell theory, are the standard multi-black holes. The proof involves a careful analysis of the near-horizon geometry and an extension of the positive mass theorem to Riemannian manifolds with conical singularities. This completes the classification of asymptotically flat, static, extreme black hole solutions in this theory.


2015 ◽  
Vol 24 (06) ◽  
pp. 1550040 ◽  
Author(s):  
Seyed Hossein Hendi

In this paper, we consider third-order Lovelock–Maxwell gravity with additional (Fμν Fμν)2 term as a nonlinearity correction of the Maxwell theory. We obtain black hole solutions with various horizon topologies (and various number of horizons) in which their asymptotical behavior can be flat or anti-de Sitter with an effective cosmological constant. We investigate the effects of Lovelock and electrodynamic corrections on properties of the solutions. Then, we restrict ourselves to asymptotically flat solutions and calculate the conserved and thermodynamic quantities. We check the first law of thermodynamics for these black hole solutions and calculate the heat capacity to analyze stability. Although higher dimensional black holes in Einstein gravity are unstable, here we look for suitable constraints on the black hole radius to find thermally stable black hole solutions.


2011 ◽  
Vol 01 ◽  
pp. 189-194 ◽  
Author(s):  
MASATO MINAMITSUJI

We derive the brane cosmological solutions in the six-dimensional Einstein-Maxwell-dilaton theory, via dimensional reduction from the higher-dimensional Einstein-Maxwell theory. Two extra dimensions are compactified by a magnetic flux and two codimension-two branes are located at the boundaries. All the cosmological solutions approach an attractor in the later times. The attractor represents a simple power-law inflationary Universe whose power is simply given by the dilatonic coupling in the theory. Then, we discuss the properties of our solutions and deduce the cosmological implications.


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