| Description |
1 online resource (xix, 428 pages) |
| Series |
Fundamental theories of physics ; v. 170 |
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Fundamental theories of physics ; v. 170.
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| Contents |
Note continued: 3.7.3. Gaussian normal coordinates approach -- 3.8. Conclusions -- 4.1. Spherically symmetric solutions of GR and metric f(R) gravity -- 4.1.1. Spherical symmetry -- 4.1.2. Ricci scalar in spherical symmetry -- 4.1.3. Spherical symmetry in metric f(R) gravity -- 4.1.4. Solutions with constant Ricci scalar -- 4.1.5. Solutions with R = R(r) -- 4.1.6. Perturbations -- 4.1.7. Spherical symmetry in f(R) gravity and the Noether approach -- 4.1.8. Noether solutions of spherically symmetric (R) gravity -- 4.1.9. Non-asymptotically flat and non-static spherical solutions of metric f (R) gravity -- 4.2. Spherical symmetry in scalar-tensor gravity -- 4.2.1. Static solutions of Brans-Dicke theory -- 4.2.2. Dynamical and asymptotically FLRW solutions -- 4.2.3. Collapse to black holes in scalar-tensor theory -- 4.3. Jehsen-Birkhoff theorem -- 4.3.1. Jehsen-Birkhoff theorem of GR -- 4.3.2. non-vacuum case -- 4.3.3. vacuum case -- 4.3.4. Jebsen-Birkhoff theorem in scalar-tensor gravity -- 4.3.5. trivial case & phi; = constant -- 4.3.6. Static non-constant Brans-Dicke-like field -- 4.3.7. Jebsen-Birkhoff theorem in Einstein frame scalar-tensor gravity -- 4.3.8. Hawking's theorem and Jebsen-Birkholl in Brans-Dicke gravity -- 4.3.9. Jebsen-Birkhoff theorem in f(R) gravity -- 4.4. Black hole thermodynamics in extended gravity -- 4.4.1. Scalar-tensor gravity -- 4.4.2. Metric modified gravity -- 4.4.3. Palatini modified gravity -- 4.4.4. Dilaton gravity -- 4.5. From spherical to axial symmetry: an application to f(R) gravity -- 4.6. Conclusions -- 5.1. weak-field limit of extended gravity -- 5.2. Newtonian and post-Newtonian approximations: general remarks -- 5.2.1. Newtonian and post-Newtonian limits of metric f(R) gravity with spherical symmetry -- 5.2.2. Comparison with the standard formalism and the chameleon effect |
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Note continued: 5.3. Post-Minkowskian approximation -- 5.3.1. energy-momentum pseudotensor in f(R) gravity and gravitational radiation -- 5.4. Gravitational waves -- 5.4.1. Gravitational waves in scalar-tensor gravity -- 5.4.2. Gravitational waves in higher order gravity -- 5.5. Conclusions -- 6.1. Ehlers-Geren-Sachs theorem -- 6.2. phase space of FLRW cosmology in scalar-tensor and f(R) gravity -- 6.2.1. dynamical system -- 6.3. Analytical solutions of Brans-Dicke and scalar-tensor cosmology -- 6.3.1. Analytical solutions of Brans-Dicke cosmology -- 6.3.2. Exact scalar-tensor cosmologies -- 6.4. Analytical solutions of metric f(R) cosmology by the Noether approach -- 6.4.1. Point-like f(R) cosmology -- 6.4.2. Noether symmetries in metric f(R) cosmology -- 6.4.3. Exact cosmologies -- 6.4.4. c1, c2 is not = to 0 -- 6.5. Analytical cosmological solutions of f(R, (square)R, (square)kR) gravity -- 6.5.1. Higher order point-like Lagrangians for cosmology -- 6.5.2. Noether symmetry approach for higher order gravities -- 6.6. Conclusions -- 7.1. Big Bang, inflationary, and late-time cosmology in GR -- 7.1.1. standard Big Bang model -- 7.1.2. Inflation in the early universe -- 7.1.3. present-day acceleration -- 7.2. Using cosmography to map the structure of the universe -- 7.2.1. cosmographic apparatus -- 7.3. Large scale structure and galaxy clusters -- 7.3.1. weak-field limit of f(R) gravity and galaxy clusters -- 7.3.2. Extended systems -- 7.3.3. cluster mass profiles -- 7.3.4. galaxy clusters sample -- 7.3.5. gas density model -- 7.3.6. Temperature profiles -- 7.3.7. galaxy distribution model -- 7.3.8. Uncertainties in the mass profiles -- 7.3.9. Fitting the mass profiles -- 7.3.10. Results -- 7.3.11. Outlooks -- 7.4. Testing cosmological models with observations -- 7.4.1. Toward a new cosmological standard model |
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Note continued: 7.4.2. Methods to constrain models -- 7.4.3. Data samples for constraining models: large scale structure -- 7.4.4. Testing cosmological models: an example -- 7.5. Conclusions -- 8.1. Quantum cosmology -- 8.1.1. Noether symmetries in quantum cosmology -- 8.1.2. Scalar-tensor quantum cosmology -- 8.1.3. quantum cosmology of fourth order gravity -- 8.1.4. Quantum cosmology with gravity of order higher than fourth -- 8.2. Inflation in ETGs -- 8.2.1. Scalar-tensor gravity: extended and hyperex tended inflation -- 8.2.2. Inflation with quadratic corrections -- 8.3. Cosmological perturbations -- 8.3.1. Scalar perturbations -- 8.3.2. Gravitational wave perturbations -- 8.4. Constraints on ETGs from primordial nucleosynthesis -- 8.5. present universe: f(R) gravity as an alternative to dark energy -- 8.5.1. Background universe -- 8.5.2. Perturbations -- 8.6. Conclusions -- A.1. Physical constants -- A.2. Conversion factors -- A.3. Astrophysical and cosmological quantities -- A.4. Planck scale quantities -- B.1. field equations and the Noether vector for spherically symmetric f(R) gravity -- B.2. Noether symmetries in metric f(R) cosmology |
| Summary |
Beyond Einstein's Gravity is a graduate level introduction to extended theories of gravity and cosmology, including variational principles, the weak-field limit, gravitational waves, mathematical tools, exact solutions, as well as cosmological and astrophysical applications. The book provides a critical overview of the research in this area and unifies the existing literature using a consistent notation. Although the results apply in principle to all alternative gravities, a special emphasis is on scalar-tensor and f(R) theories. They were studied by theoretical physicists from early on, and in the 1980s they appeared in attempts to renormalize General Relativity and in models of the early universe. Recently, these theories have seen a new lease of life, in both their metric and metric-affine versions, as models of the present acceleration of the universe without introducing the mysterious and exotic dark energy. The dark matter problem can also be addressed in extended gravity. These applications are contributing to a deeper understanding of the gravitational interaction from both the theoretical and the experimental point of view. An extensive bibliography guides the reader into more detailed literature on particular topics |
| Analysis |
fysica |
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physics |
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astronomie |
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astronomy |
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toegepaste wiskunde |
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applied mathematics |
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Physics (General) |
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Fysica (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| In |
Springer eBooks |
| Subject |
Gravitation.
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Astronomy.
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Mathematics.
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astronomy.
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applied mathematics.
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mathematics.
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SCIENCE -- Astronomy.
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Physique.
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Astronomie.
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Gravitation
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| Form |
Electronic book
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| Author |
Faraoni, Valerio.
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| ISBN |
9789400701656 |
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9400701659 |
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