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result(s) for
"Hawking, S. W. (Stephen W.)"
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The nature of space and time
Who doesn’t love a good argument? When physics heavyweights Stephen W. Hawking and Roger Penrose delivered three sets of back-and-forth lectures capped by a final debate at Cambridge’s Isaac Newton Institute, the course of modern cosmological thinking was at stake. As it happens, The Nature of Space and Time, which collects these remarks, suggests that little has changed from the days when Einstein challenged Bohr by refusing to believe that God plays dice. The math is more abstruse, the arguments more refined, but the argument still hinges on whether our physical theories should be expected to model reality or merely predict measurements.
eBook
George's cosmic treasure hunt
George is heartbroken when his neighbor Annie and her space-scientist father move to Florida, but when Annie sends him a secret message telling him she has been contacted by aliens with a terrible warning, he joins her in a galaxy-wide search for answers. Includes scientific essays on space travel.
Book
Superrotation charge and supertranslation hair on black holes
A
bstract
It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass
M
, momentum
P
→
, angular momentum
J
→
and boost charge
K
→
, an infinite head of supertranslation hair. The distinct black holes are distinguished by classical superrotation charges measured at infinity. Solutions with super-translation hair are diffeomorphic to the Schwarzschild spacetime, but the diffeomorphisms are part of the BMS subgroup and act nontrivially on the physical phase space. It is shown that a black hole can be supertranslated by throwing in an asymmetric shock wave. A leading-order Bondi-gauge expression is derived for the linearized horizon supertranslation charge and shown to generate, via the Dirac bracket, supertranslations on the linearized phase space of gravitational excitations of the horizon. The considerations of this paper are largely classical augmented by comments on their implications for the quantum theory.
Journal Article
George and the big bang
George tries to escape a host of problems by going to Switzerland to help his friend Annie's father, Eric, run an experiment exploring the origins of the universe, but faces saboteurs and a mysterious message from George's old nemesis, Reeper, there. Includes scientific essays exploring the latest theories on the origin of the universe.
Book
Black hole entropy and soft hair
A
bstract
A set of infinitesimal Virasoro
L
⊗ Virasoro
R
diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of ‘Wald-Zoupas’ counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges
c
L
=
c
R
= 12
J
. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.
Journal Article
The conformal BMS group
A
bstract
We describe the conformal symmetries of asymptotically flat spacetime. These represent an extension of the BMS group that we call the
conformal BMS group
. Its general features are discussed.
Journal Article
A Stubbornly Persistent Illusion
With commentary by the greatest physicist of our time, Stephen Hawking, this anthology has garnered impressive reviews. PW has called it a gem of a collection\" while New Scientist magazine notes the thrill of reading Einstein's own words.\" From the writings that revealed the famous Theory of Relativity, to other papers that shook the scientific world of the 20th century, A Stubbornly Persistent Illusion belongs in every science fan's library.
eBook
Black Hole Entropy and Soft Hair
A set of infinitesimal \\({\\rm Virasoro_{\\,L}}\\otimes{\\rm Virasoro_{\\,R}}\\) diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of `Wald-Zoupas' counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges \\(c_L=c_R=12J\\). Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.
Paper
Superrotation Charge and Supertranslation Hair on Black Holes
It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass \\(M\\), momentum \\(\\vec P\\), angular momentum \\(\\vec J\\) and boost charge \\(\\vec K\\), an infinite head of supertranslation hair. The distinct black holes are distinguished by classical superrotation charges measured at infinity. Solutions with supertranslation hair are diffeomorphic to the Schwarzschild spacetime, but the diffeomorphisms are part of the BMS subgroup and act nontrivially on the physical phase space. It is shown that a black hole can be supertranslated by throwing in an asymmetric shock wave. A leading-order Bondi-gauge expression is derived for the linearized horizon supertranslation charge and shown to generate, via the Dirac bracket, supertranslations on the linearized phase space of gravitational excitations of the horizon. The considerations of this paper are largely classical augmented by comments on their implications for the quantum theory.
Paper