Can quantum black holes be (q, p)-fermions?

2017 ◽  
Vol 32 (15) ◽  
pp. 1750080 ◽  
Author(s):  
Emre Dil
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Fermi Gas ◽  
Einstein Equations ◽  
Quantum Corrections ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Entropic Gravity ◽  
Two Parameter

In this study, to investigate the very nature of quantum black holes, we try to relate three independent studies: (q, p)-deformed Fermi gas model, Verlinde’s entropic gravity proposal and Strominger’s quantum black holes obeying the deformed statistics. After summarizing Strominger’s extremal quantum black holes, we represent the thermostatistics of (q, p)-fermions to reach the deformed entropy of the (q, p)-deformed Fermi gas model. Since Strominger’s proposal claims that the quantum black holes obey deformed statistics, this motivates us to describe the statistics of quantum black holes with the (q, p)-deformed fermions. We then apply the Verlinde’s entropic gravity proposal to the entropy of the (q, p)-deformed Fermi gas model which gives the two-parameter deformed Einstein equations describing the gravitational field equations of the extremal quantum black holes obeying the deformed statistics. We finally relate the obtained results with the recent study on other modification of Einstein equations obtained from entropic quantum corrections in the literature.

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.

Gravitational Field Equations

1971 ◽  
Vol 49 (6) ◽  
pp. 678-684
Author(s):  
Peter Rastall
Keyword(s):  
Gravitational Field ◽  
Einstein Equations ◽  
Tensor Form ◽  
Field Equations ◽  
Scalar Theory ◽  
Gravitational Fields ◽  
Gravitational Field Equations ◽  
Theory Of Gravitation ◽  
Alternative Field

An earlier, scalar theory of gravitation is assumed to be valid for a class of static gravitational fields. The theory is written in tensor form, and generalized to the case of an arbitrary gravitational field. The interaction between the field and its sources is discussed, and the linearized form of the field equations is derived. Some possible alternative field equations are considered which are compatible with the linearized Einstein equations.

q-Deformed Einstein equations

2015 ◽  
Vol 93 (11) ◽  
pp. 1274-1278 ◽  
Author(s):  
Emre Dil
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Einstein Equations ◽  
Entropic Force ◽  
Fermi Statistics ◽  
Entropic Gravity

In this study, we consider three independent physical studies and try to combine them to find an interesting result. Ubriaco’s q-deformed bosons and Verlinde’s entropic gravity studies are taken into account to find the deformed Einstein equations for describing the gravitational field of deformed objects, such as, Strominger’s black holes obeying the deformed Bose or Fermi statistics. We consider the gravitation as an entropic force, as in Verlinde’s approach and assume the source of gravitation is the q-deformed bosons of Ubriaco. Consequently, we obtain the deformed Einstein equations for these deformed bosons by considering the gravitation as an entropic force.

scholarly journals Quasilinear reformulation of Lovelock gravity

2015 ◽  
Vol 24 (09) ◽  
pp. 1542010 ◽  
Author(s):  
Steven Willison
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Stability Analysis ◽  
Well Posedness ◽  
Field Equations ◽  
Lovelock Gravity ◽  
Gravitational Field Equations ◽  
The Stability ◽  
Extended Review

Here, we give an extended review of the quasilinear reformulation of the Lovelock gravitational field equations in harmonic gauge presented by Willison [Class. Quantum Grav.32 (2015) 022001]. This is important in order to establish rigorously well-posedness of the theory perturbed about certain backgrounds. The resulting system is not quasidiagonal, therefore analysis of causality is complicated in general. The conditions for the equations to be Leray hyperbolic are elucidated. The relevance to some recent results regarding the stability analysis of black holes is presented.

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