Dark Energy From Dynamical Projective Connections
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866915257311559680 |
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| author | Brensinger, Samuel Heitritter, Kenneth Rodgers, Vincent G. J. Stiffler, Kory Whiting, Catherine A. |
| author_facet | Brensinger, Samuel Heitritter, Kenneth Rodgers, Vincent G. J. Stiffler, Kory Whiting, Catherine A. |
| contents | We further develop the gravitational model, Thomas-Whitehead Gravity (TW Gravity), that arises when projective connections become dynamical fields. TW Gravity has its origins in geometric actions from string theory where the TW projective connection appears as a rank two tensor, $\mathcal{D}_{ab}$, on the spacetime manifold. Using a Gauss-Bonnet (GB) action built from the $(\mathrm{d}+1)$-dimensional TW connection, and applying the tensor decomposition $\mathcal{D}_{ab} = D_{ab} + 4Λ/(\mathrm{d}(\mathrm{d}-1)) g_{ab}$, we arrive at a gravitational model made up of a $\mathrm{d}$-dimensional Einstein-Hilbert + GB action sourced by $D_{ab}$ and with cosmological constant $Λ$. The $\mathrm{d}=4$ action is studied and we find that $Λ\propto 1/J_0$, with $J_0$ the coupling constant for $D_{ab}$. For $Λ$ equal to the current measured value, $J_0$ is on the order of the measured angular momentum of the observable Universe. We view this as $Λ$ controlling the scale of patches of the Universe that acquire angular momentum, with the net angular momentum of multiple patches vanishing, as required by the cosmological principle. We further find a universal axial scalar coupling to all fermions where the trace, $\mathcal{D} = \mathcal{D}_{ab}g^{ab}$ acts as the scalar. This suggests that $\mathcal{D}$ is also a dark matter portal for non-standard model fermions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_05334 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Dark Energy From Dynamical Projective Connections Brensinger, Samuel Heitritter, Kenneth Rodgers, Vincent G. J. Stiffler, Kory Whiting, Catherine A. High Energy Physics - Theory General Relativity and Quantum Cosmology We further develop the gravitational model, Thomas-Whitehead Gravity (TW Gravity), that arises when projective connections become dynamical fields. TW Gravity has its origins in geometric actions from string theory where the TW projective connection appears as a rank two tensor, $\mathcal{D}_{ab}$, on the spacetime manifold. Using a Gauss-Bonnet (GB) action built from the $(\mathrm{d}+1)$-dimensional TW connection, and applying the tensor decomposition $\mathcal{D}_{ab} = D_{ab} + 4Λ/(\mathrm{d}(\mathrm{d}-1)) g_{ab}$, we arrive at a gravitational model made up of a $\mathrm{d}$-dimensional Einstein-Hilbert + GB action sourced by $D_{ab}$ and with cosmological constant $Λ$. The $\mathrm{d}=4$ action is studied and we find that $Λ\propto 1/J_0$, with $J_0$ the coupling constant for $D_{ab}$. For $Λ$ equal to the current measured value, $J_0$ is on the order of the measured angular momentum of the observable Universe. We view this as $Λ$ controlling the scale of patches of the Universe that acquire angular momentum, with the net angular momentum of multiple patches vanishing, as required by the cosmological principle. We further find a universal axial scalar coupling to all fermions where the trace, $\mathcal{D} = \mathcal{D}_{ab}g^{ab}$ acts as the scalar. This suggests that $\mathcal{D}$ is also a dark matter portal for non-standard model fermions. |
| title | Dark Energy From Dynamical Projective Connections |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/1907.05334 |