We study wave equations with various spins on the background of a general spherically symmetric spacetime.We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations ...We study wave equations with various spins on the background of a general spherically symmetric spacetime.We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations with the general spins.We also discuss the gauge dependence in the gravitational-wave equations,which have appeared in previous studies.展开更多
Based on liquid variational perturbation theory with quantum mechanics correction, the effective exp-6 potential is adopted to compute the shock Hugoniot of liquid H2 + D2 mixtures at different molar rations. An exami...Based on liquid variational perturbation theory with quantum mechanics correction, the effective exp-6 potential is adopted to compute the shock Hugoniot of liquid H2 + D2 mixtures at different molar rations. An examination of the confidence of the above computation is performed by comparing experiments and calculations, in which similar calculation procedure used for H2 + D2 is adopted for H2 and D2 each, since no experimental data are available to conduct this kind of comparison. Good agreement in both comparisons is found. This fact may look as if an indirect positive verification of calculation procedure was used here at least in the pressure and temperature domain covered by the experimental data of H2 and D2 used for comparison, numerically nearly up to 20 GPa and 104 K.展开更多
By using the method of characteristic equations, we find that the evolution path of BFKL equation which take the higher order quantum chromodynamics effective coupling into consideration is notably different from that...By using the method of characteristic equations, we find that the evolution path of BFKL equation which take the higher order quantum chromodynamics effective coupling into consideration is notably different from that which neglects the higher order quantum chromodynamics effective coupling.展开更多
We once again reference Theorem6.1.2of the book by Ellis, Maartens, and MacCallum in order to argue that if there is a non zero initial scale factor, that there is a partial breakdown of the Fundamental Singularity th...We once again reference Theorem6.1.2of the book by Ellis, Maartens, and MacCallum in order to argue that if there is a non zero initial scale factor, that there is a partial breakdown of the Fundamental Singularity theorem which is due to the Raychaudhuri equation. Afterwards, we review a construction of what could happen if we put in what Ellis, Maartens, and MacCallum call the measured effective cosmological constant and substitute Λ→Λeffective in the Friedman equation. i.e. there are two ways to look at the problem, i.e. after Λ→Λeffective, set ΛVac as equal to zero, and have the left over as scaled to background cosmological temperature, as was postulated by Park (2002) or else have ΛVac as proportional to ΛVac^1038GeV2 which then would imply using what we call a 5-dimensional contribution to Λ as proportional to Λ≈Λ5D^-const/Tβ. We find that both these models do not work for generating an initial singularity. Λ removal as a non zero cosmological constant is most easily dealt with by a Bianchi I universe version of the generalized Friedman equation. The Bianchi I universe case almost allows for use of Theorem 6.1.2. But this Bianchi 1 Universe model almost in fidelity with Theorem 6.1.2 requires a constant non zero shear for initial fluid flow at the start of inflation which we think is highly unlikely.展开更多
基金Supported in part by the National Natural Science Foundation of China(11973025)。
文摘We study wave equations with various spins on the background of a general spherically symmetric spacetime.We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations with the general spins.We also discuss the gauge dependence in the gravitational-wave equations,which have appeared in previous studies.
基金Project supported by the Science and Technology Foundation of China Academy of Engineering Physics (Grant No. 97Z011).
文摘Based on liquid variational perturbation theory with quantum mechanics correction, the effective exp-6 potential is adopted to compute the shock Hugoniot of liquid H2 + D2 mixtures at different molar rations. An examination of the confidence of the above computation is performed by comparing experiments and calculations, in which similar calculation procedure used for H2 + D2 is adopted for H2 and D2 each, since no experimental data are available to conduct this kind of comparison. Good agreement in both comparisons is found. This fact may look as if an indirect positive verification of calculation procedure was used here at least in the pressure and temperature domain covered by the experimental data of H2 and D2 used for comparison, numerically nearly up to 20 GPa and 104 K.
文摘By using the method of characteristic equations, we find that the evolution path of BFKL equation which take the higher order quantum chromodynamics effective coupling into consideration is notably different from that which neglects the higher order quantum chromodynamics effective coupling.
文摘We once again reference Theorem6.1.2of the book by Ellis, Maartens, and MacCallum in order to argue that if there is a non zero initial scale factor, that there is a partial breakdown of the Fundamental Singularity theorem which is due to the Raychaudhuri equation. Afterwards, we review a construction of what could happen if we put in what Ellis, Maartens, and MacCallum call the measured effective cosmological constant and substitute Λ→Λeffective in the Friedman equation. i.e. there are two ways to look at the problem, i.e. after Λ→Λeffective, set ΛVac as equal to zero, and have the left over as scaled to background cosmological temperature, as was postulated by Park (2002) or else have ΛVac as proportional to ΛVac^1038GeV2 which then would imply using what we call a 5-dimensional contribution to Λ as proportional to Λ≈Λ5D^-const/Tβ. We find that both these models do not work for generating an initial singularity. Λ removal as a non zero cosmological constant is most easily dealt with by a Bianchi I universe version of the generalized Friedman equation. The Bianchi I universe case almost allows for use of Theorem 6.1.2. But this Bianchi 1 Universe model almost in fidelity with Theorem 6.1.2 requires a constant non zero shear for initial fluid flow at the start of inflation which we think is highly unlikely.
