Study Of Physical Properties For Two-dimensional Non-commutative Black Holes,Dark Energy Stars And Dark Energy Black Holes

In this thesis,the physical properties of noncommutative black holes,dark energy stars and dark energy black holes in two-dimensional space-time are studied.In Chapter 1,the research status of noncommutative geometry are introduced,black holes,two-dimensional gravity and dark energy,and the research results of this thesis are described.In Chapter 2,the connection,Ricci tensor and scalar curvature under sdeformation are derived,the expression of modified energy momentum tensor is deduced,the metric solution of s-deformed noncommutative black hole is obtained.In Chapter 3,the analytical solution and modified dispersion relation of s-deformed Dirac equation are derived,Lorentz's symmetry breaking effect is discussed,and the charge current density fluctuation of s-deformed Dirac field is calculated.In Chapter 4,the mass formula of two-dimensional non reciprocal dark energy stars is deduced,and the relationship between reduced mass and reduced scale is calculated and discussed.Then,the average density of the mini stars is estimated,and the constraint conditions for the stability of two-layer potential energy in noncommutative stars are obtained.In Chapter5,the state relations of Fermi condensed matter and Faddeev Popov ghost condensed matter are derived,the dark energy black hole solution in the Brans-Dicke gravitational model is obtained,and the event horizon coordinates and Hawking temperature of the black hole are obtained.Finally,the change relationship between horizon coordinate and Hawking temperature with chemical potential is analyzed and discussed.Chapter6 is the summary and prospect of this thesis.The innovative work in this thesis is as follows:1.Based on the analytical solution of s-deformed Dirac equation,the fluctuations of charge-current density of Dirac field in two-dimensional noncommutative black hole are calculated;the relationship between the reduced mass and the reduced scale is calculated by using the mass formula of two-dimensional noncommutative dark energy star,and the stability condition of potential energy in the star is obtained.2.According to the state relationship between Fermi condensed matter and Faddeev Popov ghost condensed matter,the dark energy black hole solutions in two-dimensional Brans-Dicke gravity are derived,and the change relationship between horizon coordinate and Hawking temperature with chemical potential is analyzed.