Saini T D, Raychaudhury S, Sahni V, Starobinsky A A
Inter-University Centre for Astronomy & Astrophysics, Puné 411 007, India.
Phys Rev Lett. 2000 Aug 7;85(6):1162-5. doi: 10.1103/PhysRevLett.85.1162.
Observations of high-redshift supernovae indicate that the Universe is accelerating. Here we present a model-independent method for estimating the form of the potential V(phi) of the scalar field driving this acceleration, and the associated equation of state w(phi). Our method is based on a versatile analytical form for the luminosity distance D(L), optimized to fit observed distances to distant supernovae and differentiated to yield V(straight phi) and w(straight phi). Our results favor w(phi) approximately -1 at the present epoch, steadily increasing with redshift. A cosmological constant is consistent with our results.
对高红移超新星的观测表明宇宙正在加速膨胀。在此，我们提出一种与模型无关的方法，用于估计驱动这种加速的标量场的势能V(φ)的形式以及相关的状态方程w(φ)。我们的方法基于光度距离D(L)的一种通用解析形式，该形式经过优化以拟合观测到的到遥远超新星的距离，并通过求导得出V(φ)和w(φ)。我们的结果表明，在当前时代w(φ)约为 -1，并随红移稳步增加。宇宙常数与我们的结果一致。
