Department of Physics, University of New Hampshire, Durham, New Hampshire 03824, USA.
Phys Rev Lett. 2013 Feb 15;110(7):071301. doi: 10.1103/PhysRevLett.110.071301. Epub 2013 Feb 12.
Holography grew out of black hole thermodynamics, which relies on the causal structure and general covariance of general relativity. In Einstein-æther theory, a generally covariant theory with a dynamical timelike unit vector, every solution breaks local Lorentz invariance, thereby grossly modifying the causal structure of gravity. However, there are still absolute causal boundaries, called "universal horizons," which are not Killing horizons yet obey a first law of black hole mechanics and must have an entropy if they do not violate a generalized second law. We couple a scalar field to the timelike vector and show via the tunneling approach that the universal horizon radiates as a blackbody at a fixed temperature, even if the scalar field equations also violate local Lorentz invariance. This suggests that the class of holographic theories may be much broader than currently assumed.
全息术源自黑洞热力学，而黑洞热力学则依赖于广义相对论的因果结构和广义协变性。在爱因斯坦以太理论中，一种具有动力学类时单位矢量的广义协变理论，每一个解都会破坏局域洛伦兹不变性，从而严重改变引力的因果结构。然而，仍然存在绝对因果边界，称为“普遍视界”，它们不是克尔视界，但服从黑洞力学的第一定律，如果不违反广义第二定律，就必须具有熵。我们将标量场与类时矢量耦合，并通过隧道方法表明，即使标量场方程也违反局域洛伦兹不变性，普遍视界也会以固定温度辐射成黑体。这表明全息理论的范畴可能比目前假设的要广泛得多。
