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SUMMARY:Plenary — Avik De: The Non-Metricity Gravity Approach
DTSTART;VALUE=DATE-TIME:20261120T040000Z
DTEND;VALUE=DATE-TIME:20261120T050000Z
DTSTAMP;VALUE=DATE-TIME:20261026T222819Z
UID:indico-contribution-1064@indico.narit.or.th
DESCRIPTION:General Relativity formulates gravitation through spacetime cu
 rvature using the Levi-Civita connection\, which assumes both vanishing to
 rsion and zero non-metricity. However\, alternative geometric descriptions
  exist within the Geometric Trinity of Gravity. Among these\, Non-Metricit
 y Gravity\, specifically \\(f(Q)\\) gravity and its scalar-tensor extensio
 ns\, attributes gravitational interactions strictly to the non-metricity t
 ensor\, setting curvature and torsion tensors to zero while introducing co
 upled scalar fields to unlock rich\, dynamical behaviors.\n\nA crucial fea
 ture that makes modified non-metricity theories particularly intriguing is
  that the affine connection is no longer uniquely fixed by the metric tens
 or alone. In isotropic and homogeneous spacetimes\, such as the FLRW unive
 rse\, the requirement of zero curvature and zero torsion yields three dist
 inct classes of affine connections. Similarly\, applying these geometric c
 onstraints to static spherically symmetric systems reveals two independent
  classes of connections.\n\nThese non-trivial connection classes transform
  the study of non-metricity gravity from a simple metric modification into
  a deep structural probe of spacetime geometry. Depending on which connect
 ion branch is realized\, the underlying non-metricity scalar \\(Q\\) acqui
 res completely different dynamic expressions. This mathematical degree of 
 freedom allows identical spatial metrics to yield dramatically different f
 ield equations\, influencing late-time cosmic acceleration\, inflationary 
 dynamics\, and black hole or stellar solutions. This work highlights how e
 xploring these distinct connection choices opens up compelling new pathway
 s for understanding fundamental gravity.\n\nhttps://indico.narit.or.th/eve
 nt/234/contributions/1064/
LOCATION:Pattaya\, Thailand D Varee Jomtien Beach Pattaya Hotel
URL:https://indico.narit.or.th/event/234/contributions/1064/
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