We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration, including the spherically symmetric generalization of Rindler reference frame and the new kind of u...We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration, including the spherically symmetric generalization of Rindler reference frame and the new kind of uniformly accelerated reference frame. We find that, unlike the general studies about the horizon thermodynamics, one cannot obtain the laws of thermodynamics for their horizons in the usual approaches, despite that one can formally define an area entropy （Bekenstein-Hawking entropy）. In fact, the common horizon for a set of uniformly accelerated observers does not always exist, even though the Hawking-Unruh temperature is still well-defined. This result indicates that the Hawking-Unruh temperature is only a kinematic effect, and to gain the laws of thermodynamics for the horizon, one needs the help of dynamics. Our result is in accordance with those from the various studies about the acoustic black holes.展开更多
We construct an alternative uniformly accelerated reference frame based on a 3+1 formalism in adapted coordinates.In this frame,a time-dependent redshift drift exists between co-moving observers,which differs from tha...We construct an alternative uniformly accelerated reference frame based on a 3+1 formalism in adapted coordinates.In this frame,a time-dependent redshift drift exists between co-moving observers,which differs from that in Rindler coordinates.This phenomenon can be tested in a laboratory and improve our understanding of non-inertial frames.展开更多
基金The project supported by National Natural Science Foundation of China under Grant Nos.90403023,10375087,and 10775140
文摘We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration, including the spherically symmetric generalization of Rindler reference frame and the new kind of uniformly accelerated reference frame. We find that, unlike the general studies about the horizon thermodynamics, one cannot obtain the laws of thermodynamics for their horizons in the usual approaches, despite that one can formally define an area entropy （Bekenstein-Hawking entropy）. In fact, the common horizon for a set of uniformly accelerated observers does not always exist, even though the Hawking-Unruh temperature is still well-defined. This result indicates that the Hawking-Unruh temperature is only a kinematic effect, and to gain the laws of thermodynamics for the horizon, one needs the help of dynamics. Our result is in accordance with those from the various studies about the acoustic black holes.
基金Supported by National Natural Science Foundation of China(11675182,11690022)。
文摘We construct an alternative uniformly accelerated reference frame based on a 3+1 formalism in adapted coordinates.In this frame,a time-dependent redshift drift exists between co-moving observers,which differs from that in Rindler coordinates.This phenomenon can be tested in a laboratory and improve our understanding of non-inertial frames.
