The thermodynamics of black holes(BHs)has had a profound impact on theoretical physics,providing insight into the nature of gravity,the quantum structure of spacetime and the fundamental laws governing the Universe.In...The thermodynamics of black holes(BHs)has had a profound impact on theoretical physics,providing insight into the nature of gravity,the quantum structure of spacetime and the fundamental laws governing the Universe.In this study,we investigate thermal geometries and Hawking evaporation of the recently proposed topological dyonic dilaton BH in anti-de Sitter(Ad S)space.We consider Rényi entropy and obtain the relations for pressure,heat capacity and Gibbs free energy and observe that the Rényi parameter and dilaton field play a vital role in the phase transition and stability of the BH.Moreover,we use Weinhold,Ruppeiner and Hendi Panahiyah Eslam Momennia models to evaluate the scalar curvature of the BH and find out that the divergence points of the scalar curvature coincides with the zero of specific heat.Finally,using Stefan–Boltzmann law,we determine that the BH without a dilaton field evaporates far more quickly compared to the dilaton BH in Ad S space.展开更多
Using a rigorous mathematical approach, we demonstrate how the Cosmic Microwave Background (CMB) temperature could simply be a form of geometric mean temperature between the minimum time-dependent Hawking Hubble tempe...Using a rigorous mathematical approach, we demonstrate how the Cosmic Microwave Background (CMB) temperature could simply be a form of geometric mean temperature between the minimum time-dependent Hawking Hubble temperature and the maximum Planck temperature of the expanding universe over the course of cosmic time. This mathematical discovery suggests a re-consideration of Rh=ctcosmological models, including black hole cosmological models, even if it possibly could also be consistent with the Λ-CDM model. Most importantly, this paper contributes to the growing literature in the past year asserting a tightly constrained mathematical relationship between the CMB temperature, the Hubble constant, and other global parameters of the Hubble sphere. Our approach suggests a solid theoretical framework for predicting and understanding the CMB temperature rather than solely observing it.1.展开更多
根据时空对称性,确定了整体单极Anti de Sitter(AdS)黑洞的事件视界和宇宙视界的位置,利用Damour Ruffini方法研究了AdS黑洞的温度,给出了Klein Gordon方程在视界附近的渐近解.通过引入Edding ton Finkelstein坐标,解波动方程所获得的热...根据时空对称性,确定了整体单极Anti de Sitter(AdS)黑洞的事件视界和宇宙视界的位置,利用Damour Ruffini方法研究了AdS黑洞的温度,给出了Klein Gordon方程在视界附近的渐近解.通过引入Edding ton Finkelstein坐标,解波动方程所获得的热谱,证实了AdS黑洞具有Hawking辐射.展开更多
A method exactly determining an event horizon and its temperature in a nonstatic space-time is proposed.Using the generalised Tortoise coordinate,we give exact location of event horison and exact Hawking temperature f...A method exactly determining an event horizon and its temperature in a nonstatic space-time is proposed.Using the generalised Tortoise coordinate,we give exact location of event horison and exact Hawking temperature for a general spherically symmetric evaporating black hole.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11975145)。
文摘The thermodynamics of black holes(BHs)has had a profound impact on theoretical physics,providing insight into the nature of gravity,the quantum structure of spacetime and the fundamental laws governing the Universe.In this study,we investigate thermal geometries and Hawking evaporation of the recently proposed topological dyonic dilaton BH in anti-de Sitter(Ad S)space.We consider Rényi entropy and obtain the relations for pressure,heat capacity and Gibbs free energy and observe that the Rényi parameter and dilaton field play a vital role in the phase transition and stability of the BH.Moreover,we use Weinhold,Ruppeiner and Hendi Panahiyah Eslam Momennia models to evaluate the scalar curvature of the BH and find out that the divergence points of the scalar curvature coincides with the zero of specific heat.Finally,using Stefan–Boltzmann law,we determine that the BH without a dilaton field evaporates far more quickly compared to the dilaton BH in Ad S space.
文摘Using a rigorous mathematical approach, we demonstrate how the Cosmic Microwave Background (CMB) temperature could simply be a form of geometric mean temperature between the minimum time-dependent Hawking Hubble temperature and the maximum Planck temperature of the expanding universe over the course of cosmic time. This mathematical discovery suggests a re-consideration of Rh=ctcosmological models, including black hole cosmological models, even if it possibly could also be consistent with the Λ-CDM model. Most importantly, this paper contributes to the growing literature in the past year asserting a tightly constrained mathematical relationship between the CMB temperature, the Hubble constant, and other global parameters of the Hubble sphere. Our approach suggests a solid theoretical framework for predicting and understanding the CMB temperature rather than solely observing it.1.
文摘根据时空对称性,确定了整体单极Anti de Sitter(AdS)黑洞的事件视界和宇宙视界的位置,利用Damour Ruffini方法研究了AdS黑洞的温度,给出了Klein Gordon方程在视界附近的渐近解.通过引入Edding ton Finkelstein坐标,解波动方程所获得的热谱,证实了AdS黑洞具有Hawking辐射.
基金Supported by the National Natural Science Foundation of China.
文摘A method exactly determining an event horizon and its temperature in a nonstatic space-time is proposed.Using the generalised Tortoise coordinate,we give exact location of event horison and exact Hawking temperature for a general spherically symmetric evaporating black hole.
