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| Dvali–Gabadadze–Porrati model | |
|---|---|
| Name | Dvali–Gabadadze–Porrati model |
| Creators | Gia Dvali, Gregory Gabadadze, Massimo Porrati |
| Introduced | 2000 |
| Field | Theoretical physics, Cosmology |
Dvali–Gabadadze–Porrati model is a proposal in Theoretical physics and Cosmology that modifies General relativity at large distances by embedding a four-dimensional brane in a five-dimensional Minkowski space bulk, introducing a crossover scale where gravity transitions from four-dimensional to five-dimensional behavior. It was formulated by Gia Dvali, Gregory Gabadadze, and Massimo Porrati and has influenced research on dark energy, extra dimensions, brane world scenarios, and alternatives to a cosmological constant. The model sparked examinations by researchers at institutions such as CERN, Princeton University, and Stanford University and remains a focal point in debates among proponents of Modified gravity, String theory, and Loop quantum gravity.
The model arose in the context of attempts to reconcile observations from the Hubble Space Telescope and the WMAP mission with theoretical frameworks like String theory and Kaluza–Klein theory, proposing a unified picture where a four-dimensional Minkowski space brane interacts with a five-dimensional bulk. Early presentations were discussed at workshops at Institute for Advanced Study, Perimeter Institute, and Aspen Center for Physics, and the idea was compared against paradigms such as the Randall–Sundrum model and the Arkani-Hamed–Dimopoulos–Dvali model. Influential commentators included researchers affiliated with Harvard University, MIT, and Caltech.
The construction places a four-dimensional brane with an intrinsic Einstein–Hilbert action into a five-dimensional Lorentzian manifold, combining a four-dimensional gravitational term localized on the brane with a five-dimensional bulk term, leading to a characteristic crossover length r_c determined by brane and bulk Planck scales. This setup was analyzed using techniques from Quantum field theory, Effective field theory, and computations similar to those in AdS/CFT correspondence literature, and links conceptually to work by scholars at Oxford University, Yale University, and Columbia University. The model's degrees of freedom include a helicity-0 mode whose dynamics were compared to analyses performed by researchers at University of Cambridge and Utrecht University.
Applied to Friedmann–Lemaître–Robertson–Walker cosmologies, the model yields modified Friedmann equations with self-accelerating branches that can mimic Cosmic acceleration without an explicit cosmological constant, prompting comparisons with data from Type Ia supernovae, Planck, and Sloan Digital Sky Survey. Cosmological solutions were evaluated alongside proposals like Quintessence, f(R) gravity, and Chaplygin gas models, and implications for the Cosmic microwave background and Large-scale structure were studied by teams at University of Chicago, University of Tokyo, and Max Planck Institute for Astrophysics.
Phenomenological signatures include modifications to the growth rate of structure, alterations of the Integrated Sachs–Wolfe effect, and deviations in gravitational lensing patterns measurable by surveys such as LSST, Euclid, and Dark Energy Survey. Solar System tests from missions like Cassini–Huygens and experiments at LIGO and Virgo impose constraints on the model's parameter space, as do laboratory tests of the inverse-square law performed at Stanford University and University of Washington. Collider implications were contrasted with searches at Large Hadron Collider and theoretical expectations from TeV-scale gravity scenarios developed at SLAC National Accelerator Laboratory and Fermilab.
Mathematical analyses employ techniques from Differential geometry, Partial differential equations, and perturbative expansions used in Quantum gravity research, building on methods from scholars at University of Cambridge (UK), Imperial College London, and École Normale Supérieure. Exact and approximate solutions include cosmological backgrounds, linearized perturbations, and non-linear configurations such as the Vainshtein mechanism which was invoked to recover Newtonian gravity near massive sources; these calculations were refined in collaborations involving groups at Rutgers University, Brown University, and University of California, Berkeley.
Extensions introduced scalar-tensor couplings, higher-codimension branes, and embedding in String theory constructions, connecting to models like the Randall–Sundrum model, Codimension-2 braneworlds, and Galileon theories developed by researchers at Kavli Institute for Theoretical Physics and Perimeter Institute. Related frameworks include massive gravity proposals by teams at Perimeter Institute and CERN and emergent gravity concepts explored at University of Oxford and University of Amsterdam.
Criticisms focus on the presence of ghost-like instabilities in some branches, strong coupling issues at scales below the crossover radius, and tensions with precision cosmological and Solar System tests, debates that involved participants from Princeton University, Harvard University, University of Cambridge, and Stanford University. Open problems include embedding the model consistently in String theory, resolving quantum consistency questions addressed at CERN and Perimeter Institute, and developing robust observational discriminants using data from Euclid, LSST, and future missions led by NASA and ESA.