General Relativity, Black Holes, and Cosmology
... 4.19 Symplectic scalar product and Poisson brackets 4.20 (Super-)Hamiltonian as a generator of evolution 4.21 Infinitesimal canonical transformations 4.22 Constancy of phase-space volume under canonical transformations 4.23 Poisson algebra of integrals of motion Concept Questions What’s important? ...
... 4.19 Symplectic scalar product and Poisson brackets 4.20 (Super-)Hamiltonian as a generator of evolution 4.21 Infinitesimal canonical transformations 4.22 Constancy of phase-space volume under canonical transformations 4.23 Poisson algebra of integrals of motion Concept Questions What’s important? ...
The Einstein–Vlasov System/Kinetic Theory H˚ akan Andr´ easson
... In general relativity, kinetic theory has been used relatively sparsely to model phenomenological matter in comparison to fluid models, although interest has increased in recent years. From a mathematical point of view there are fundamental advantages to using a kinetic description. In non-curved sp ...
... In general relativity, kinetic theory has been used relatively sparsely to model phenomenological matter in comparison to fluid models, although interest has increased in recent years. From a mathematical point of view there are fundamental advantages to using a kinetic description. In non-curved sp ...
Here - 21st International Conference on General Relativity and
... On the conditions for the formation of exotic compact objects from gravitational collapse (Daniele Malafarina) . . . . . . . . . . . . . . . . . Universal Walker metrics (Tomas Malek ) . . . . . . . . . . . . . . . . . . . The Cartan Algorithm in Higher Dimensions with Applications (David McNutt) . ...
... On the conditions for the formation of exotic compact objects from gravitational collapse (Daniele Malafarina) . . . . . . . . . . . . . . . . . Universal Walker metrics (Tomas Malek ) . . . . . . . . . . . . . . . . . . . The Cartan Algorithm in Higher Dimensions with Applications (David McNutt) . ...
Many-Minds Relativity and Quantum Mechanics
... Would it not be more disturbing if they came to different conclusions? In any case, this was the upshot of Einstein’s special relativity based on the assumption that all observers will agree on the speed of light. This is like if in politics a rightist and leftist came to agree on something. Would t ...
... Would it not be more disturbing if they came to different conclusions? In any case, this was the upshot of Einstein’s special relativity based on the assumption that all observers will agree on the speed of light. This is like if in politics a rightist and leftist came to agree on something. Would t ...
Principles of Time and Space Hiroshige Goto
... book, the quaternion is transformed into a number in the curved four-dimensional space–time and the transformed quaternion is called the new octonion. Because the new octonion consists of four real numbers and four imaginary numbers, four kinds are thought to exist (similar to the real and imaginary ...
... book, the quaternion is transformed into a number in the curved four-dimensional space–time and the transformed quaternion is called the new octonion. Because the new octonion consists of four real numbers and four imaginary numbers, four kinds are thought to exist (similar to the real and imaginary ...
Relativistic quantum information theory and quantum reference frames
... Quantum mechanics and general relativity are both extremely successful theories. However, the theories each have a limited domain of applicability which cannot adequately describe extreme phenomena where both quantum and gravitational effects are important. There is research into developing a fundam ...
... Quantum mechanics and general relativity are both extremely successful theories. However, the theories each have a limited domain of applicability which cannot adequately describe extreme phenomena where both quantum and gravitational effects are important. There is research into developing a fundam ...
Introduction to Classical Field Theory
... hopefully, you acquire information and skills that can be used in a variety of places in theoretical physics, principally in quantum field theory, particle physics, electromagnetic theory, fluid mechanics and general relativity. As you may know, it is usually in courses on such subjects that the tec ...
... hopefully, you acquire information and skills that can be used in a variety of places in theoretical physics, principally in quantum field theory, particle physics, electromagnetic theory, fluid mechanics and general relativity. As you may know, it is usually in courses on such subjects that the tec ...
Relativity made relatively easy
... the basic arguments that will not be repeated in the main text (and that can be found in introductory texts such as The Wonderful World of Relativity). The right moment to turn to that appendix, if you need to, is after completing section 2.2.2 of this chapter. In order to discuss space and time wit ...
... the basic arguments that will not be repeated in the main text (and that can be found in introductory texts such as The Wonderful World of Relativity). The right moment to turn to that appendix, if you need to, is after completing section 2.2.2 of this chapter. In order to discuss space and time wit ...
(Very) basic introduction to special relativity
... It may seem natural to simply consider the time as another coordinate and use the Pythagorean theorem to compute the “distance” between events. Unfortunately this is not very useful because the laws of physics are not invariant under the action of SO(4, R). For example, if we write Maxwell equations ...
... It may seem natural to simply consider the time as another coordinate and use the Pythagorean theorem to compute the “distance” between events. Unfortunately this is not very useful because the laws of physics are not invariant under the action of SO(4, R). For example, if we write Maxwell equations ...
RADIATION REACTION AND SELF-FORCE IN CURVED SPACETIME IN A FIELD THEORY APPROACH
... the post-Newtonian (PN) formalism, which assumes that the two bodies, possibly spinning, are weakly gravitating sources moving at slow velocities under their mutual gravitational influences. Recently, the equations of motion for the two bodies and the radiation these emit have been computed using th ...
... the post-Newtonian (PN) formalism, which assumes that the two bodies, possibly spinning, are weakly gravitating sources moving at slow velocities under their mutual gravitational influences. Recently, the equations of motion for the two bodies and the radiation these emit have been computed using th ...
The Lorentz transformation
... It is a common practice to set c = 1 for convenience when doing mathematical manipulations in special relativity. Then one can leave c out of the equations, which reduces clutter and can make things easier. When you need to calculate a specific number for comparison with experiment, you must either ...
... It is a common practice to set c = 1 for convenience when doing mathematical manipulations in special relativity. Then one can leave c out of the equations, which reduces clutter and can make things easier. When you need to calculate a specific number for comparison with experiment, you must either ...
5 General Relativity with Tetrads
... 22. In what sense does the Gullstrand-Painlevé metric (1) depict a flow of space? [Are the coordinates moving? If not, then what is moving?] 23. If space has no substance, what does it mean that space falls into a black hole? 24. Would there be any gravitational field in a spacetime where space fel ...
... 22. In what sense does the Gullstrand-Painlevé metric (1) depict a flow of space? [Are the coordinates moving? If not, then what is moving?] 23. If space has no substance, what does it mean that space falls into a black hole? 24. Would there be any gravitational field in a spacetime where space fel ...
Contents - Le World Home Page
... an airplane moving at a constant (non-accelerated) velocity. The laws of mechanics apply equally to the passenger as well as to the observer fixed on Earth. For example, when a flight attendant in an airplane pours coffee, it fills the cup in the same way that it does when you pour it in your kitche ...
... an airplane moving at a constant (non-accelerated) velocity. The laws of mechanics apply equally to the passenger as well as to the observer fixed on Earth. For example, when a flight attendant in an airplane pours coffee, it fills the cup in the same way that it does when you pour it in your kitche ...
32 From Galileo to Lorentz transformations
... The experiment clearly showed that the ether does not exist as it did not detected any ether wind because the measured speed was the same in all directions, while the experiment was in principle sensitive to measure the predicted ether wind. The null result of Michelson-Morley experiment can only be ...
... The experiment clearly showed that the ether does not exist as it did not detected any ether wind because the measured speed was the same in all directions, while the experiment was in principle sensitive to measure the predicted ether wind. The null result of Michelson-Morley experiment can only be ...
On early and late phases of acceleration of the
... period under the same banner “On early and late phases of acceleration of the expansion of the Universe”. This title can be read at several level which are reflected through this manuscript: on the first level, indeed our universe is expanding. This first point is now a matter of fact for the underg ...
... period under the same banner “On early and late phases of acceleration of the expansion of the Universe”. This title can be read at several level which are reflected through this manuscript: on the first level, indeed our universe is expanding. This first point is now a matter of fact for the underg ...
Gravito-electromagnetic analogies
... analogy based on the fields of inertial forces, arising in the context of the 1+3 splitting of spacetime. This approach, which is herein reformulated and suitably generalized, is still not very well known, but very far reaching. It is therefore important to understand how it relates with the other k ...
... analogy based on the fields of inertial forces, arising in the context of the 1+3 splitting of spacetime. This approach, which is herein reformulated and suitably generalized, is still not very well known, but very far reaching. It is therefore important to understand how it relates with the other k ...
Schutz A First Course in General Relativity(Second Edition).
... The first part of the book, up to Ch. 8, introduces the theory in a sequence that is typical of many treatments: a review of special relativity, development of tensor analysis and continuum physics in special relativity, study of tensor calculus in curvilinear coordinates in Euclidean and Minkowski ...
... The first part of the book, up to Ch. 8, introduces the theory in a sequence that is typical of many treatments: a review of special relativity, development of tensor analysis and continuum physics in special relativity, study of tensor calculus in curvilinear coordinates in Euclidean and Minkowski ...
Schwarzschild geometry and black holes
... the name ‘periastron’ is more appropriate. For orbits around Earth – ‘geo’ – we speak of the ‘perigee’. These opposite of ‘peri’ is ‘ap’: the furthest distance. Thus, an orbit also has an aphelion, apastron, or apogee, depending on what it is orbiting around. The general terms, not specific to any p ...
... the name ‘periastron’ is more appropriate. For orbits around Earth – ‘geo’ – we speak of the ‘perigee’. These opposite of ‘peri’ is ‘ap’: the furthest distance. Thus, an orbit also has an aphelion, apastron, or apogee, depending on what it is orbiting around. The general terms, not specific to any p ...
$doc.title
... I just want to make one thing very clear: Past students have told me that the notes were invaluable and reasonably well written. However, they also told me that the notes were next to useless without also attending the lectures. So, don’t get caught in the trap of thinking ‘well, I have the notes, m ...
... I just want to make one thing very clear: Past students have told me that the notes were invaluable and reasonably well written. However, they also told me that the notes were next to useless without also attending the lectures. So, don’t get caught in the trap of thinking ‘well, I have the notes, m ...
About Mechanics of Virtual Reality
... age and need new physics to depict such a real-virtual mixed universe. In this article, some personal views about the unification and the future of fundamental physics are proposed. The article contains three parts: (1) Super Transformation. Space-Time Transformation with Simulator which describes t ...
... age and need new physics to depict such a real-virtual mixed universe. In this article, some personal views about the unification and the future of fundamental physics are proposed. The article contains three parts: (1) Super Transformation. Space-Time Transformation with Simulator which describes t ...
Janiszewski_washington_0250E_13369
... where A is the area of the event horizon, kB is the Boltzmann constant, c is the speed of light, ~ is Planck’s constant, and GN is Newton’s gravitational constant. Even more interesting than the existence of black hole entropy is that it is the maximal amount of entropy a system in a given volume ca ...
... where A is the area of the event horizon, kB is the Boltzmann constant, c is the speed of light, ~ is Planck’s constant, and GN is Newton’s gravitational constant. Even more interesting than the existence of black hole entropy is that it is the maximal amount of entropy a system in a given volume ca ...
Hyperbolic Geometrodynamic Warp Drives
... based on the assumption that spacetime is flat. So that all relative motion is based upon the seemingly universal constant c; which stems from the second postulate to the theory of special relativity (in fact early relativity theory earns its name because of the special assertion that the dynamics o ...
... based on the assumption that spacetime is flat. So that all relative motion is based upon the seemingly universal constant c; which stems from the second postulate to the theory of special relativity (in fact early relativity theory earns its name because of the special assertion that the dynamics o ...
Chapter_2 - Experimental Elementary Particle Physics Group
... Based on the general identification of the invariant magnitude (proper time) of a timelike interval with quantum phase along that interval, it follows that all physical processes and characteristic sequences of events will evolve in proportion to this quantity. The name "proper time" is appropriate ...
... Based on the general identification of the invariant magnitude (proper time) of a timelike interval with quantum phase along that interval, it follows that all physical processes and characteristic sequences of events will evolve in proportion to this quantity. The name "proper time" is appropriate ...
30155-doc - Project Gutenberg
... largest possible logical unity. The practice, for example, of seeing in a "distance" two marked positions on a practically rigid body is something which is lodged deeply in our habit of thought. We are accustomed further to regard three points as being situated on a straight line, if their apparent ...
... largest possible logical unity. The practice, for example, of seeing in a "distance" two marked positions on a practically rigid body is something which is lodged deeply in our habit of thought. We are accustomed further to regard three points as being situated on a straight line, if their apparent ...
Time Travel and Warp Drives
... some particular technological advance might be achieved. Scientists and engineers by contrast work to answer “how,” attempting to extend our knowledge of the laws of nature and to apply this knowledge creatively in new situations. The fact that science, in due course, frequently has provided answers ...
... some particular technological advance might be achieved. Scientists and engineers by contrast work to answer “how,” attempting to extend our knowledge of the laws of nature and to apply this knowledge creatively in new situations. The fact that science, in due course, frequently has provided answers ...