As in the standard case, we started from the modified friedmann equations and introduced the perturbed metric in the newtonian gauge. In the last few years modified gravity theories have been proposed as extensions of einsteins theory of gravity. Scalartensor theory of gravitation cambridge monographs. Some exact bianchi typei cosmological models in scalartensor theory of gravitation with time dependent deceleration parameter anirudh pradhan1, anand shankar dubey2, rajeev kumar khare3 1department of mathematics,hindu postgraduate college, zamania232 331, ghazipur, india. In this post we see book titled the relativistic theory of gravitation by a.
Cosmology in scalartensor gravity fundamental theories. Ballester scalar tensor theory of gravitation in four dimensions. In order to shed additional light on the restrictive assumptions made by dicke concerning the coupling of the scalar field with matter, the ponderomotive laws of a scalartensor theory are constructed free of approximations in the. The scalartensor theory of gravitation yasunori fujii and keiichi maeda ed 2003 cambridge. The scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. Recently, reddy 16, 17 presented a string cosmological model in bransdicke and seazballester scalartensor theories of gravitation. Published by john moffat in 2005, the weak field limit of this theory predicts an enhanced gravitational attraction on the boundaries of galaxies, where phenomena related to dark matter use to happen and agrees with general relativity inward. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Request pdf the scalartensor theory of gravitation since the. Problem book in relativity and gravitation gravitation and inertia gravitation relativity, gravitation and cosmology.
Eventhoughitisstillprovisional, thisargumentillustrateshow the scalar tensor theory, a highly constrained theory, has the capability oflinkingtwootherwisedisparatephenomena. For example, the bransdicke theory of gravitation uses both a scalar field. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar fields and placing them in context with a discussion of bransdicke theory. Brans, who also contributes personally, is a creative and independent researcher and one of the founders of the scalartensor theory, also known as jordanbransdicke theory. Qualitative properties of scalartensor theories of gravity abstract. Manifold theory and the calculus of variations, and even a book or two dealing with differential geometry. The scalar tensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. Exploring the discrepancies between general relativity and. Scalartensor theories of gravitation, in which gravity is mediated by a. Our consideration deals with cosmological inflationary models based on gstg with nonminimal coupling of a noncanonical scalar field to the ricci scalar. The scalartensor theory of gravitation request pdf. The best known relativistic classical field theory of gravitation, general relativity, is a tensor theory, in which the gravitational interaction is described using a tensor field. The scalartensor theory of gravitation moved into the limelight in recent years due to developments in string theory, mtheory and brane world constructions.
However, barber 1982 has modified bransdicke scalartensor theory to. Models of compact stars in the bimetric scalartensor. A basic introduction oxford master series in physics the scalartensor theory. We consider a new form of theories of gravity in which the action is written in terms of the ricci scalar and its first and second derivatives. In theoretical physics, a scalartensor theory is a field theory that includes both a scalar field and a tensor field to represent a certain interaction.
In this paper, we investigated the cosmological perturbations in the context of a scalartensorvector theory of gravity known as mog. Higgs field and a new scalartensor theory of gravity. Tilted bianchi type vi0 cosmological model in saez and. We describe how to reconstruct generalized scalartensor gravity gstg theory, which admits exact solutions for physical type of the potentials. Field of charged mass point in a scalartensor theory of gravitation b. Request pdf the scalartensor theory of gravitation since the scalartensor theory of gravitation was proposed almost 50 years ago, it has recently become a robust alternative theory. Lectures on quantum gravity and black holes thomas hartman cornell university please email corrections and suggestions to. The volume is published in honour of carl brans on the occasion of his 80th birthday. Some physical and geometrical properties of the solutions are also discussed. Also the mass less scalar field in relativistic mechanics yields some significant results regarding both the. The existence of a particular set of ghostfree nonlinear interactions has been. One of the latest is scalartensorvector gravity stvg theory, also referred as modified gravity mog. In scalartensor theories, the field added in the gravitational.
Ghaboussi i received january 18, 1991 the combination of brans and dickes idea of a variable gravitational constant with the higgsfield mechanism of elementary particle physics results in a new theory of gravity. Ascalartheoryof gravity had earlier been attempted by g. Towardtheendofthebookweattempttorelatetheproblemofthecos mologicalconstanttothepossibletimedependenceofthe. Despite the higher derivative nature of the action, the theory is free from ghost under an appropriate choice of the functional form of the lagrangian. The scalartensor theory of gravitation the scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. In the present book, much space is devoted to scalartensor theories. The key idea is that we begin with a scale invariant scalartensor gravity in. Modifications of einsteins theory of gravity at large distances. Despite the higher derivative nature of the action, the theory is free from ghost under an appropriate. Higher dimensional spherical symmetric metric models in a. The analysis is presented for the simplest version of the theory with a constant coupling function and a zero cosmological function. Building on the work of hermann weyl, the soviet physicist andrei sakharov proposed in 1967 what would prove to be one of the most enduring theories of modi ed gravity.
Models of compact stars in the bimetric scalartensor theory of. Tilted bianchi type vi0 cosmological model is investigated in a new scalar tensor theory of gravitation proposed by saez and ballester physics letters a 1. Without a proper background in general relativity gr and associated subjects tensor calculus, etc. This theory does not allow the scalar field to interact with fundamental principles and photons. Chernsimons modified gravity is a fourdimensional, effective theory that descends both from string theory and loop quantum gravity, and that corrects the einsteinhilbert action by adding the product of a scalar field and the parityviolating, pontryagin density. Holographic dark energy cosmological model in scalar. Scalar theories of gravitation are field theories of gravitation in which the gravitational field is described using a scalar field, which is required to satisfy some field equation. The scalar tensor theory of gravitation as recognized, adventure as without difficulty as experience practically lesson, amusement, as skillfully as treaty can be gotten by just checking out a books the scalar tensor theory of gravitation along with it is not directly done, you could endure even more on the subject of this life, on the subject. Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. In the scalartensor theory of gravitation, the parameter g that described the local strength of gravitational interactions is no longer a universal constant, it is equal to 1. Linear cosmological perturbations in scalartensorvector. An introduction to tensors for students of physics and. It explores scalar fields, placing them in context with a discussion. In an astrophysical setting, if a scalartensor theory describes gravitation, the value of.
Pdf palatini frames in scalartensor theories of gravity. For example, the bransdicke theory of gravitation uses both a scalar field and a tensor field to mediate the gravitational interaction. It is shown that astrophysical and gravitational wave observations of. Kolecki national aeronautics and space administration glenn research center cleveland, ohio 445 tensor analysis is the type of subject that can make even the best of students shudder. Field equations in the scalartensor theory of gravitation, proposed by. Scalartensor theories with a free scalar field are perhaps not well motivated since.
These theories are still the subject of research today, and make up section 3. Ghost free palatini derivative scalartensor theory. Higgs field and a new scalartensor theory of gravity h. Neutron stars in general relativity and scalartensor theory of gravity.
Topics covered include the cosmological constant problem, time variability of coupling. One of the most studied alternative theories is scalartensor theory, where the gravitational action contains, apart from the metric, a scalar. This article focuses on relativistic classical field theories of gravitation. The latter is a socalled scalartensor theory of gravitation 23, comprising a scalar field and the wellknown metric tensor from gr that are coupled to each other. Scalartensor theories are discussed as encompassing three classical longrange fields, including the electromagnetic field. Einsteins general theory of relativity is a geometrical theory of spacetime. Other readers will always be interested in your opinion of the books youve read. Considerable progress has been made in this exciting area of physics and this book is the first to provide a critical overview of the research. The relation between scalartensor theory and fr gravity, and their possible equivalence, has been studied by many authors. The largest part of the relevant literature is devoted to the study of the equivalence between purely metric fr gravity and a speci. The scalartensor theory of gravitation by yasunori fujii. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar.
Scalar tensor theories with a free scalar field are perhaps not well motivated since. Scalartensor theory of gravity and generalized second law of thermodynamics on the event horizon. An introduction to tensors for students of physics and engineering joseph c. Pdf from lovelock to horndeskis generalized scalar tensor theory.
Parametrizations in scalartensor theories of gravity and the limit of general relativity l j arv, p kuusk, m saal and o vilson institute of physics, university of tartu, ravila 14c, 50411 tartu, estonia abstract. Parametrizations in scalartensor theories of gravity and. We then proceed to analyze this scalartensor theory in detail. Field of charged mass point in a scalartensor theory of. Tilted bianchi type vi0 cosmological model is investigated in a new scalar tensor theory of gravitation pro posed by saez and ballester physics letters a 1. A scalartheoryof gravity had earlier been attempted by g. At the frontier of spacetime scalartensor theory, bells. For a special relation between two coupling constants, it is disformally dual to the einstein gravity minimally coupled to the scalar, which opens the way to constructing several exact. Scalartensor theories of gravity loyola university. Motivated with these works, we have studied in this paper, minimally interacting fields dark. Pdf scalartensor theory of gravity and generalized. We show that it is possible to determine the structure of this theory the scalar eld potential and the functional form of the scalar gravity coupling along with the present density of dustlike matter from. Some exact bianchi typei cosmological models in scalar. Physics and astronomy, cosmology, relativity and gravitation, theoretical physics.
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