Entropy Of Dirac Field Research Articles

Entropy of Non-stationary and Slowly Changing Reissner-Nordström Black Hole

Simplifying Dirac equation near the horizon, Hawking temperature is obtained by applying a new tortoise coordinate transformation. Using the improved thin film brick-wall model and WKB approximation, the entropy of Dirac field in the non-stationary and slowly changing Reissner-Nordstrom black hole is calculated. The result shows that the entropy of the black hole is still proportional to the horizon area, and black hole entropy is just identical to the entropy of the quantum state at the horizon. In addition, the new tortoise coordinate transformation can make the cut-off parameter introduced in solving the entropy of non-stationary black hole simplified to the same as that in the static and stationary cases.

Statistical Entropy of Dirac Field Outside RN Black Hole and Modified Density Equation

Statistical entropy of Dirac field in Reissner–Nordstrom black hole space-time is computed by state density equation corrected by the generalized uncertainty principle to all orders in Planck length and WKB approximation. The result shows that the statistical entropy is proportional to the horizon area but the present result is convergent without any artificial cutoff.

The Generalized Uncertainty Relation and The Entropy of Non-stationary and Slowly Changing Reissner-Nordström Black Hole

Applying the generalized uncertainty relation to the thin film brick-wall model, the entropy of Dirac Field in Non-stationary and Slowly Changing Reissner-Nordstrom Black Hole is obtained. The result shows that the entropy is still proportional to the horizon area of the black hole, and black hole entropy is just identical to the entropy of the quantum state near the event horizon, in addition, the divergence of state density without any cut-off parameter is avoided during black hole entropy calculation.

Further discussion on the entropy of Dirac field in spherically symmetric non-static black hole

A new general tortoise coordinate transformation is used with the thin film brick-wall model.We further discuss the Hawking temperature and the entropy of Dirac field in spherically symmetric non-static black hole.The cut-off parameter does not vary for different time-space structure,and it is reduced to that of the stationary cases.

Entropy of Dirac field in a rectilinearly nonuniformly accelerating Kinnersley black hole

Using the Tortoise coordinate transformation and the Dirac field equation near the event horizon, the Hawking temperature of Kinnersley black hole is obtained. Meanwhile, adopting thin film brick-wall model, the entropy of Kinnersley black hole is calculated. The entropy near the event horizon is shown to be the entropy of black hole by regulating the cut-off parameter and the thin film's thickness properly. The results show that the entropy of the black hole is proportional to the area of the event horizon.

Entropy of Dirac field in a generalized non-stationary spherically symmetric black hole with charge

Using the improved brick-wall film model， we calculated the entropy of Dirac field in a generalized non-stationary spherically symmetric black hole with charge. From the point of view of the model， these entropies are nothing but the entropy of the black hole. The result showed that this entropy is proportion to the area of event horizon.

Entropy of Dirac Field in Non-stationary and Slowly ChangingReissner–Nordström Black Hole**The project supported by NationalNatural Science Foundation of China under Grant No. 10347008

Using the thin film brick-wall model and WKBapproximation, the entropy of the Dirac field in the non-stationary andslowly changing Reissner-Nordström (R-N) black hole is calculated. Theresult shows that the entropy of the R-N black hole is still proportional toits surface area if we choose proper cut-off.

Entropy of Dirac field in toroidal black hole

The entropies of quantum fields on event horizon of a toroidal black hole are given using the improved brick-wall model. According to the view of the improved brick-wall model, these entropies are nothing but the entropy of the black hole. So the entropy of the toroidal black hole is proportional to the area of event horizon, which satisfies the Bekenstein-Hawking formula.

Entropy of Dirac field in a general spherically symmetric and charged evaporatin g black hole

By using the thin film model,which is based on the brick-wall method,the entropy of the Dirac field in a general spherically symmetric and charged evaporating black hole is calculated.The conclusion that black hole entropy is proportional to its horizon area can still be applied by regulating the cutoff,which is time dependent.

The statistical entropy of Dirac field in spherically symmetric non-static black hole

In terms of the improved brick-wall model, the statistical entropy of Dirac field in the most general spherically symmetric non-static black hole is calculated. It is shown that the entropy of the black hole is proportional to the area of event horizon at any time. It is noteworthy that the calculating formula for the dynamic proportional coefficient is obtained in this paper. Through calculating these dynamic proportional coefficients, the statistical entropies of the Dirac field in all kinds of the spherically symmetric non-static black hole can be obtained directly.

ENTROPY OF THE DIRAC FIELD IN SCHWARZSCHILD BLACK HOLE

By using of the brick-wall method,we calculate the free energy and the entropy of Dirac spinor field in Schwarzschild black hole-It shows that the entropy of Dirac field is proportional to the area of black hole horizon and the entropy of Dirac field is 7/2 times that of Klein-Gordon field-