Bianchi I Cosmological Models for Gravitational Field Equations of Fourth Order

1986 ◽  
Vol 498 (1-2) ◽  
pp. 67-75 ◽  
Author(s):  
Volker Müller
Keyword(s):  
Gravitational Field ◽  
Fourth Order ◽  
Cosmological Models ◽  
Field Equations ◽  
Bianchi I ◽  
Gravitational Field Equations

scholarly journals Inflation in anisotropic brane universe using tachyon field

2019 ◽  
Vol 28 (13) ◽  
pp. 1941010 ◽  
Author(s):  
Rikpratik Sengupta ◽  
Prasenjit Paul ◽  
Bikash Chandra Paul ◽  
Saibal Ray
Keyword(s):  
Gravitational Field ◽  
Cosmological Solution ◽  
Tachyon Field ◽  
Field Equations ◽  
Tachyonic Field ◽  
Bianchi I ◽  
Gravitational Field Equations ◽  
First Case ◽  
Cosmological Scenario ◽  
The Universe

Cosmological solution to the gravitational field equations in the generalized Randall–Sundrum model for an anisotropic brane with Bianchi-I geometry and perfect fluid as matter sources has been considered. The matter on the brane is described by a tachyonic field. The solution admits inflationary era and at a later epoch the anisotropy of the universe washes out. We obtain two classes of cosmological scenario: in the first case, universe evolves from singularity and in the second case, universe expands without singularity.

Gravitational Field Equations of Fourth Order and Supersymmetry

1978 ◽  
Vol 490 (6) ◽  
pp. 471-480 ◽  
Author(s):  
H. V. v. Borzeszkowski ◽  
H.-J. Treder ◽  
W. Yourgrau
Keyword(s):  
Gravitational Field ◽  
Fourth Order ◽  
Field Equations ◽  
Gravitational Field Equations

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.

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