Sakharov’s Induced Gravity: a Modern Perspective
نویسنده
چکیده
Sakharov’s 1967 notion of “induced gravity” is currently enjoying a significant resurgence. The basic idea, originally presented in a very brief 3-page paper with a total of 4 formulas, is that gravity is not “fundamental” in the sense of particle physics. Instead it was argued that gravity (general relativity) emerges from quantum field theory in roughly the same sense that hydrodynamics or continuum elasticity theory emerges from molecular physics. In this article I will translate the key ideas into modern language, and explain the various versions of Sakharov’s idea currently on the market.
منابع مشابه
Spectral regularisation: induced gravity and the onset of inflation
Using spectral regularisation, we compute the Weyl anomaly and express the anomaly generating functional of the quantum effective action through a collective scalar degree of freedom of all quantum vacuum fluctuations. Such a formulation allows us to describe induced gravity on an equal footing with the anomaly-induced effective action, in a self-consistent way. We then show that requiring stab...
متن کاملMechanism of Generation of Black Hole Entropy in Sakharov’s Induced Gravity
The mechanism of generation of the Bekenstein-Hawking entropy SBH of a black hole in the Sakharov’s induced gravity is proposed. It is suggested that the ”physical” degrees of freedom, which explain the entropy SBH , form only a finite subset of the standard Rindler-like modes defined outside the black hole horizon. The entropy SR of the Rindler modes, or entanglement entropy, is always ultravi...
متن کاملTopological Black Holes in Weyl Conformal Gravity
We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes. Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the wellknown topological black holes in anti-de Sitter gravity. The rather delicate question of thermodynamic properties of such objects in Weyl conformal gravity is di...
متن کاملζ-function regularization and one-loop renormalization of field fluctuations in curved space-times
A method to regularize and renormalize the fluctuations of a quantum field in a curved background in the ζ-function approach is presented. The method produces finite quantities directly and finite scale-parametrized counterterms at most. These finite couterterms are related to the presence of a particular pole of the effective-action ζ function as well as to the heat kernel coefficients. The me...
متن کاملPlenty of Nothing: Black Hole Entropy in Induced Gravity
We demonstrate how Sakharov’s idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system of heavy constituents of the underlying theory. The black hole entropy is related to the properties of the vacuum in the induced gravity in the presence of th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002