We describe how to reconstruct generalized scalartensor gravity gstg theory, which admits exact solutions for physical type of the potentials. This article focuses on relativistic classical field theories of gravitation. The relation between scalartensor theory and fr gravity, and their possible equivalence, has been studied by many authors. In scalartensor theories, the field added in the gravitational. Scalar tensor theories with a free scalar field are perhaps not well motivated since. The scalar tensor 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. Linear cosmological perturbations in scalartensorvector. Field equations in the scalartensor theory of gravitation, proposed by. 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. For example, the bransdicke theory of gravitation uses both a scalar field and a tensor field to mediate the gravitational interaction. Models of compact stars in the bimetric scalartensor theory of.
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. Exact solutions to the field equations are derived when the metric potentials are functions of cosmic time only. The scalartensor theory of gravitation moved into the limelight in recent years due to developments in string theory, mtheory and brane world constructions. It is shown that astrophysical and gravitational wave observations of. However, barber 1982 has modified bransdicke scalartensor theory to. 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. Tilted bianchi type vi0 cosmological model in saez and. Scalartensor theories of gravity loyola university. Models of compact stars in the bimetric scalartensor. The scalartensor theory of gravitation the scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. Scalartensor theories with a free scalar field are perhaps not well motivated since.
Pdf palatini frames in scalartensor theories of gravity. The analysis is presented for the simplest version of the theory with a constant coupling function and a zero cosmological function. Without a proper background in general relativity gr and associated subjects tensor calculus, etc. Topics covered include the cosmological constant problem, time variability of coupling. In an astrophysical setting, if a scalartensor theory describes gravitation, the value of. Qualitative properties of scalartensor theories of gravity abstract. Ascalartheoryof gravity had earlier been attempted by g.
Physics and astronomy, cosmology, relativity and gravitation, theoretical physics. Higgs field and a new scalartensor theory of gravity h. The largest part of the relevant literature is devoted to the study of the equivalence between purely metric fr gravity and a speci. Neutron stars in general relativity and scalartensor theory of gravity. Ghost free palatini derivative scalartensor theory. The scalartensor theory of gravitation is one of the most popular alternatives to einsteins theory of gravitation. The existence of a particular set of ghostfree nonlinear interactions has been. Einsteins general theory of relativity is a geometrical theory of spacetime. Manifold theory and the calculus of variations, and even a book or two dealing with differential geometry. The volume is published in honour of carl brans on the occasion of his 80th birthday. These theories are still the subject of research today, and make up section 3. 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. 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.
An introduction to tensors for students of physics and. Towardtheendofthebookweattempttorelatetheproblemofthecos mologicalconstanttothepossibletimedependenceofthe. This book provides a clear and concise introduction to the theoretical ideas and developments, exploring scalar. Cosmology in scalartensor gravity fundamental theories. 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. Lectures on quantum gravity and black holes thomas hartman cornell university please email corrections and suggestions to.
Satyanarayana, department of basic science and humanities, gmr institute of technology, rajam 532127, andhra pradesh abstract. 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. Here, the tensor field is identified with the spacetime of riemannian geometry and scalar field is alien to geometry. As in the standard case, we started from the modified friedmann equations and introduced the perturbed metric in the newtonian gauge. 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. Exploring the discrepancies between general relativity and. 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. Motivated with these works, we have studied in this paper, minimally interacting fields dark. 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. In the last few years modified gravity theories have been proposed as extensions of einsteins theory of gravity. 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 theory of gravity and generalized second law of thermodynamics on the event horizon. The key idea is that we begin with a scale invariant scalartensor gravity in.
Pdf scalartensor theory of gravity and generalized. A basic introduction oxford master series in physics the scalartensor theory. It explores scalar fields, placing them in context with a discussion. Pdf from lovelock to horndeskis generalized scalar tensor theory. One of the most studied alternative theories is scalartensor theory, where the gravitational action contains, apart from the metric, a scalar. In this post we see book titled the relativistic theory of gravitation by a. We then proceed to analyze this scalartensor theory in detail.
In the gravitational sector, the theory contains the metric tensor, a scalar. Despite the higher derivative nature of the action, the theory is free from ghost under an appropriate. A scalartheoryof gravity had earlier been attempted by g. In this paper, we investigated the cosmological perturbations in the context of a scalartensorvector theory of gravity known as mog. One of the latest is scalartensorvector gravity stvg theory, also referred as modified gravity mog. Problem book in relativity and gravitation gravitation and inertia gravitation relativity, gravitation and cosmology. 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. Eventhoughitisstillprovisional, thisargumentillustrateshow the scalar tensor theory, a highly constrained theory, has the capability oflinkingtwootherwisedisparatephenomena. Higher dimensional spherical symmetric metric models in a. Ballester scalar tensor theory of gravitation in four dimensions. The scalartensor theory of gravitation by yasunori fujii. Some exact bianchi typei cosmological models in scalar. Our consideration deals with cosmological inflationary models based on gstg with nonminimal coupling of a noncanonical scalar field to the ricci scalar.
Cosmology in scalartensor gravity covers all aspects of cosmology in scalartensor theories of gravity. 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. 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. 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. This theory does not allow the scalar field to interact with fundamental principles and photons. Field of charged mass point in a scalartensor theory of gravitation b. Higgs field and a new scalartensor theory of gravity. The scalartensor theory of gravitation yasunori fujii and keiichi maeda ed 2003 cambridge. 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. 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.
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. An introduction to tensors for students of physics and engineering joseph c. 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. Field of charged mass point in a scalartensor theory of. This book introduces the subject at a level suitable for both graduate students and researchers. 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. 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. 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. For example, the bransdicke theory of gravitation uses both a scalar field. Modifications of einsteins theory of gravity at large distances. Parametrizations in scalartensor theories of gravity and. At the frontier of spacetime scalartensor theory, bells.
Other readers will always be interested in your opinion of the books youve read. The scalartensor theory of gravitation request pdf. Holographic dark energy cosmological model in scalar. 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. Scalartensor theories are discussed as encompassing three classical longrange fields, including the electromagnetic field. Request pdf the scalartensor theory of gravitation since the. Scalartensor theory of gravitation cambridge monographs. Reconstruction of a scalartensor theory of gravity in an. 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. Scalartensor theories of gravitation, in which gravity is mediated by a. Springer nature is making coronavirus research free. 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.