Feynman Lectures on Gravitation

Feynman, Richard P.; Morinigo, Fernando B.; Wagner, William G.

doi:10.1201/9780429502859

Cited by 189 publications

(166 citation statements)

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“…Einstein's general relativity predicts that gravity is a spin-2 mass-free particle [46][47][48]. This prediction is also the latest expression of modern physics, which is of great significance to the study of astrophysics.…”

Section: Introductionmentioning

confidence: 91%

Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity

Zhang

et al. 2020

Eur. Phys. J. C

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On the basis of the state parameter of de Sitter space-time satisfying the first law of thermodynamics, we can derive some effective thermodynamic quantities. When the temperature of the black hole horizon is equal to that of the cosmological horizon, we think that the effective temperature of the space-time should have the same value. Using this condition, we obtain a differential equation of the entropy of the de Sitter black hole in the higher-dimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity. Solving the differential equation, we obtain the corrected entropy and effective thermodynamic quantities of the de Sitter black hole. The results show that for multi-parameter black holes, the entropy satisfied differential equation is invariable with different independent state parameters. Therefore, the entropy of higher-dimensional dS black holes in dRGT massive gravity is only a function of the position of the black hole horizon, and is independent of other state parameters. It is consistent with the corresponding entropy of the black hole horizon and the cosmological horizon. The thermodynamic quantities of self-consistent de Sitter space-time are given theoretically, and the equivalent thermodynamic quantities have the second-order phase transformation similar to AdS black hole, but unlike AdS black hole, the equivalent temperature of de Sitter space-time has a maximum value. By satisfying the requirement of thermodynamic equilibrium and stability of space-time, the conditions for the existence of dS black holes in the universe are obtained.PACS numbers:

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Section: Introductionmentioning

confidence: 91%

Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity

Zhang

et al. 2020

Eur. Phys. J. C

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“…On the field-theoretic approach, the flat background spacetime is of course independent of the gravitational field and not reduced to it. But, the metric gµν -which is interpreted as specifying the geometry of spacetime on the geometric approach-is straightforwardly determined by the gravitational field according to (44). has been developed in a number of sources including the textbooks of Weinberg ([1972]) and Feynman et al ([1995]). 35 On this way of understanding the theory, what used to be interpreted as the spacetime metric, g µν , is broken up into a background spacetime metric (which we will take to be flat) and a (spin-two) tensor field on that spacetime,…”

Section: The Mass Of the Gravitational Field In General Relativitymentioning

confidence: 99%

“…The mass of the gravitational field appears to play the gravitational role, though it is difficult to say how it does so as this seems to depend on the way Einstein's field equations are written. In my treatment of general relativity I adopt a field-theoretic approach to the theory (as is done in the textbooks of Weinberg, [1972] and Feynman et al, [1995]) in order to stress the connections between general relativity and the three other theories.…”

Section: Introductionmentioning

confidence: 99%

The Mass of the Gravitational Field

Sebens¹

2022

The British Journal for the Philosophy of Science

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Abstract By mass–energy equivalence, the gravitational field has a relativistic mass density proportional to its energy density. I seek to better understand this mass of the gravitational field by asking whether it plays three traditional roles of mass: the role in conservation of mass, the inertial role, and the role as source for gravitation. The difficult case of general relativity is compared to the more straightforward cases of Newtonian gravity and electromagnetism by way of gravitoelectromagnetism, an intermediate theory of gravity that resembles electromagnetism. 1Introduction2The Mass of the Electromagnetic Field2.1The conservational role2.2The inertial role2.3The gravitational role3The Mass of the Gravitational Field in Newtonian Gravity3.1The conservational role3.2The inertial role3.3The gravitational role4The Mass of the Gravitational Field in Gravitoelectromagnetism4.1The conservational role4.2The inertial role4.3The gravitational role5The Mass of the Gravitational Field in General Relativity5.1The conservational role5.2The inertial role5.3The gravitational role6ConclusionAppendix

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“…Making the past hypothesis explicit in the form (49) or a similar one also enables us to understand the question whether the past hypothesis could be explained. Boltzmann (1898, §90) suggested tentatively that the explanation might be a giant fluctuation out of thermal equilibrium, an explanation later refuted by Eddington (1931) and Feynman (1965;1995). (Another criticism of this explanation put forward by Popper (1976, §35) is without merit.)…”

Section: The Past Hypothesismentioning

confidence: 99%

Gibbs and Boltzmann Entropy in Classical and Quantum Mechanics

Lebowitz

Tumulka

Zanghı̀

2020

Statistical Mechanics and Scientific Explanation

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The Gibbs entropy of a macroscopic classical system is a function of a probability distribution over phase space, i.e., of an ensemble. In contrast, the Boltzmann entropy is a function on phase space, and is thus defined for an individual system. Our aim is to discuss and compare these two notions of entropy, along with the associated ensemblist and individualist views of thermal equilibrium. Using the Gibbsian ensembles for the computation of the Gibbs entropy, the two notions yield the same (leading order) values for the entropy of a macroscopic system in thermal equilibrium. The two approaches do not, however, necessarily agree for non-equilibrium systems. For those, we argue that the Boltzmann entropy is the one that corresponds to thermodynamic entropy, in particular in connection with the second law of thermodynamics. Moreover, we describe the quantum analog of the Boltzmann entropy, and we argue that the individualist (Boltzmannian) concept of equilibrium is supported by the recent works on thermalization of closed quantum systems.

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Feynman Lectures on Gravitation

Cited by 189 publications

References 0 publications

Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity

Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity

The Mass of the Gravitational Field

Gibbs and Boltzmann Entropy in Classical and Quantum Mechanics

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