Penrose's theorem is more restricted, it only holds when matter obeys a stronger energy condition, called the , which means that the energy is bigger than the pressure. All ordinary matter, with the exception of a vacuum expectation value of a , obeys this condition. During , the universe ...
The Penrose-Hawking singularity theorems are a set of results in general relativity which attempt to answer the question of whether gravity is necessarily singular. These theorems answer this question affirmatively for matter satisfying "reasonable" energy conditions. This means that a generic spacetime ...
Penrose shared the Wolf Prize for physics with Stephen Hawking for this work on the Penrose-Hawking singularity theorems. Penrose is also known as the founding father of quantum gravity through his work on twistor theory, which addresses the geometry of space-time. He is an emeritus professor ...
Define Penrose. Penrose synonyms, Penrose pronunciation, Penrose translation, English dictionary definition of Penrose. Sir Roger Born 1931. British physicist and mathematician known for his work in quantum physics and general relativity, as well as his
Stephen Hawking, the University of Cambridge Department of Applied Mathematics and Theoretical Physics, Professor, the most important family of general relativity and cosmology. 70 years he proved with a well-known Penrose singularity theorem, for which they jointly received the 1988 Wolf Prize in Phy...
Penrose-Hawking singularity theorems Penrose-Hawking theorems penroseite Penry, John Penryn pens pens pens pens pens pens pens her in pens her up pens him in pens him up pens in pens it in pens it up pens me in pens me up pens one in pens one up pens someone in pens something in pen...
(1973–1998, emeritus from 1998). Penrose used topological mathematics to demonstrate that ifEinstein's theory of gravity as set forth in the general theory of relativity is correct then black holes must exist. Working StephenHawking, Penrose showed that the development of a singularity, in which...
Steinbauer, The Hawking-Penrose singularity theorem for C1,1-Lorentzian metrics, Commun. Math. Phys. 360 (2018) 1009-42.Graf, M., Grant, J.D.E., Kunzinger, M., Steinbauer, R.: The Hawking-Penrose singularity theorem for C1,1-Lorentzian metrics. Comm. Math. Phys 360(3), 1009-1042 ...
The main contribution to general relativity for which Hawking and Penrose were honored is a cluster of theoretical results called singularity theorems, which demonstrate the existence of a singularity in space-time based on certain initial assumptions. A singularity is a point in space-time where ...
We show that the Hawking--Penrose singularity theorem, and the generalisation of this theorem due to Galloway and Senovilla, continue to hold for Lorentzian metrics that are of $C^{1, 1}$-regularity. We formulate appropriate weak versions of the strong energy condition and genericity condition ...